Atkin-Lehner |
2- 5- 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
69440ee |
Isogeny class |
Conductor |
69440 |
Conductor |
∏ cp |
156 |
Product of Tamagawa factors cp |
deg |
113218560 |
Modular degree for the optimal curve |
Δ |
1.320979359973E+28 |
Discriminant |
Eigenvalues |
2- 3 5- 7- -5 -1 -4 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1138904332,13721425738256] |
[a1,a2,a3,a4,a6] |
Generators |
[-22845582:3147038720:729] |
Generators of the group modulo torsion |
j |
623225944950388227633972249/50391363524359094272000 |
j-invariant |
L |
12.524796998583 |
L(r)(E,1)/r! |
Ω |
0.038910466987792 |
Real period |
R |
2.0633820784496 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000076 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
69440bn1 17360ba1 |
Quadratic twists by: -4 8 |