Atkin-Lehner |
2+ 3+ 7+ 11+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
92862a |
Isogeny class |
Conductor |
92862 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
107136 |
Modular degree for the optimal curve |
Δ |
39805482024 = 23 · 39 · 73 · 11 · 67 |
Discriminant |
Eigenvalues |
2+ 3+ 1 7+ 11+ -5 -8 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1419,18557] |
[a1,a2,a3,a4,a6] |
Generators |
[7:91:1] |
Generators of the group modulo torsion |
j |
16060229667/2022328 |
j-invariant |
L |
4.1276588032331 |
L(r)(E,1)/r! |
Ω |
1.1081148711748 |
Real period |
R |
1.8624688243619 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001171 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
92862bd1 |
Quadratic twists by: -3 |