Atkin-Lehner |
2- 11- 19- 23- |
Signs for the Atkin-Lehner involutions |
Class |
105754u |
Isogeny class |
Conductor |
105754 |
Conductor |
∏ cp |
336 |
Product of Tamagawa factors cp |
deg |
48384000 |
Modular degree for the optimal curve |
Δ |
8.9724619023121E+24 |
Discriminant |
Eigenvalues |
2- 0 2 2 11- -2 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-2781904489,56476187391913] |
[a1,a2,a3,a4,a6] |
Generators |
[30499:-10880:1] |
Generators of the group modulo torsion |
j |
1343984459288955058990366713/5064720832255901696 |
j-invariant |
L |
13.273064267312 |
L(r)(E,1)/r! |
Ω |
0.064174116861335 |
Real period |
R |
2.4622492284092 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000007802 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9614c1 |
Quadratic twists by: -11 |