Atkin-Lehner |
2+ 7- 11- 103+ |
Signs for the Atkin-Lehner involutions |
Class |
111034c |
Isogeny class |
Conductor |
111034 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
349920 |
Modular degree for the optimal curve |
Δ |
5535266968 = 23 · 72 · 113 · 1032 |
Discriminant |
Eigenvalues |
2+ -1 0 7- 11- 1 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-284785,-58614499] |
[a1,a2,a3,a4,a6] |
Generators |
[-1263728:632997:4096] |
Generators of the group modulo torsion |
j |
52129234440660603625/112964632 |
j-invariant |
L |
3.8813798332432 |
L(r)(E,1)/r! |
Ω |
0.20666649712137 |
Real period |
R |
3.1301475861606 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000027348 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
111034a1 |
Quadratic twists by: -7 |