Atkin-Lehner |
2- 5- 7+ 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
117040ce |
Isogeny class |
Conductor |
117040 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
221184 |
Modular degree for the optimal curve |
Δ |
4825448714240 = 212 · 5 · 7 · 116 · 19 |
Discriminant |
Eigenvalues |
2- -2 5- 7+ 11- -4 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-7320,214228] |
[a1,a2,a3,a4,a6] |
Generators |
[23:242:1] |
Generators of the group modulo torsion |
j |
10591472326681/1178088065 |
j-invariant |
L |
4.6543705583284 |
L(r)(E,1)/r! |
Ω |
0.74586439763274 |
Real period |
R |
1.0400394927138 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999566965 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7315d1 |
Quadratic twists by: -4 |