Atkin-Lehner |
2- 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
53312bs |
Isogeny class |
Conductor |
53312 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-6044931713103560704 = -1 · 219 · 714 · 17 |
Discriminant |
Eigenvalues |
2- 0 2 7- 0 -2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,411796,-60395440] |
[a1,a2,a3,a4,a6] |
Generators |
[73234303325820:5187933030864520:14832537993] |
Generators of the group modulo torsion |
j |
250404380127/196003234 |
j-invariant |
L |
6.2500001407987 |
L(r)(E,1)/r! |
Ω |
0.13305121215505 |
Real period |
R |
23.487197296319 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999978 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
53312n3 13328p4 7616i4 |
Quadratic twists by: -4 8 -7 |