Atkin-Lehner |
5+ 23- 43- |
Signs for the Atkin-Lehner involutions |
Class |
113735c |
Isogeny class |
Conductor |
113735 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
785664 |
Modular degree for the optimal curve |
Δ |
-16651656355225435 = -1 · 5 · 239 · 432 |
Discriminant |
Eigenvalues |
0 -2 5+ -1 -4 -2 7 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-87461,-11762085] |
[a1,a2,a3,a4,a6] |
Generators |
[45345:261528:125] |
Generators of the group modulo torsion |
j |
-499810041856/112483915 |
j-invariant |
L |
2.3519785769509 |
L(r)(E,1)/r! |
Ω |
0.13716500828509 |
Real period |
R |
2.1433843310641 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999997479675 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4945c1 |
Quadratic twists by: -23 |