Atkin-Lehner |
2- 3+ 13- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
114192bd |
Isogeny class |
Conductor |
114192 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
2193432555052597248 = 220 · 39 · 134 · 612 |
Discriminant |
Eigenvalues |
2- 3+ 4 2 -4 13- 6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-497043,114518610] |
[a1,a2,a3,a4,a6] |
Generators |
[20095:2846870:1] |
Generators of the group modulo torsion |
j |
168443538982083/27206523136 |
j-invariant |
L |
10.431928937499 |
L(r)(E,1)/r! |
Ω |
0.24867931468567 |
Real period |
R |
5.2436653796196 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000031769 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14274c2 114192be2 |
Quadratic twists by: -4 -3 |