Atkin-Lehner |
2+ 3+ 13+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
92352a |
Isogeny class |
Conductor |
92352 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
399360 |
Modular degree for the optimal curve |
Δ |
4925834866368 = 26 · 35 · 132 · 374 |
Discriminant |
Eigenvalues |
2+ 3+ 2 4 -4 13+ 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-55212,-4973922] |
[a1,a2,a3,a4,a6] |
Generators |
[-2570299666088374:211852301858575:18774435652552] |
Generators of the group modulo torsion |
j |
290838597704310592/76966169787 |
j-invariant |
L |
7.4707451965829 |
L(r)(E,1)/r! |
Ω |
0.31145651964793 |
Real period |
R |
23.986478773624 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999988501 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
92352r1 46176p4 |
Quadratic twists by: -4 8 |