Atkin-Lehner |
2- 3- 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
91728fq |
Isogeny class |
Conductor |
91728 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
368640 |
Modular degree for the optimal curve |
Δ |
-2761371316227888 = -1 · 24 · 311 · 78 · 132 |
Discriminant |
Eigenvalues |
2- 3- -2 7- 0 13- -4 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,22344,-2177021] |
[a1,a2,a3,a4,a6] |
Generators |
[2345:113778:1] |
Generators of the group modulo torsion |
j |
899022848/2012283 |
j-invariant |
L |
4.471878008664 |
L(r)(E,1)/r! |
Ω |
0.23535642239503 |
Real period |
R |
4.7501125696408 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000016116 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
22932y1 30576cz1 13104cc1 |
Quadratic twists by: -4 -3 -7 |