Atkin-Lehner |
3- 13+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
92781l |
Isogeny class |
Conductor |
92781 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
301056 |
Modular degree for the optimal curve |
Δ |
226019468000313 = 310 · 137 · 61 |
Discriminant |
Eigenvalues |
1 3- 2 0 4 13+ -6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-29691,-1824120] |
[a1,a2,a3,a4,a6] |
Generators |
[-45240:187455:512] |
Generators of the group modulo torsion |
j |
822656953/64233 |
j-invariant |
L |
9.7531213603534 |
L(r)(E,1)/r! |
Ω |
0.36549883988038 |
Real period |
R |
6.6711028143516 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002953 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
30927d1 7137g1 |
Quadratic twists by: -3 13 |