Atkin-Lehner |
2- 3+ 5+ 19- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
105450bv |
Isogeny class |
Conductor |
105450 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
133622784 |
Modular degree for the optimal curve |
Δ |
-5.1745178748885E+28 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -2 6 -2 3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,742048412,-7696924207969] |
[a1,a2,a3,a4,a6] |
Generators |
[29281717716675231578372311373109479487319760571094605250:6469526569640599506110534753919068990506193220421007027781:865708857529061296780034802626780838557329722444088] |
Generators of the group modulo torsion |
j |
2892014100726425269868681351/3311691439928665023686250 |
j-invariant |
L |
9.8157288831194 |
L(r)(E,1)/r! |
Ω |
0.019139574107024 |
Real period |
R |
85.474985216773 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
21090c1 |
Quadratic twists by: 5 |