Atkin-Lehner |
2- 3+ 17+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
107916a |
Isogeny class |
Conductor |
107916 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
927360 |
Modular degree for the optimal curve |
Δ |
23515849148060928 = 28 · 3 · 17 · 239 |
Discriminant |
Eigenvalues |
2- 3+ 2 -1 2 -5 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-227117,-40926183] |
[a1,a2,a3,a4,a6] |
Generators |
[37383:7227198:1] |
Generators of the group modulo torsion |
j |
2809856/51 |
j-invariant |
L |
6.4483037455943 |
L(r)(E,1)/r! |
Ω |
0.21893513903794 |
Real period |
R |
4.9088387339182 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001928 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
107916d1 |
Quadratic twists by: -23 |