Atkin-Lehner |
2+ 5+ 11- 89- |
Signs for the Atkin-Lehner involutions |
Class |
107690j |
Isogeny class |
Conductor |
107690 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
71884800 |
Modular degree for the optimal curve |
Δ |
2.6172966130291E+26 |
Discriminant |
Eigenvalues |
2+ 2 5+ 0 11- 4 -6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-419231848,-3211098426048] |
[a1,a2,a3,a4,a6] |
Generators |
[-3169200232152929682674944967131303682778:61334659621464972149953597538556729635307:299709965792164446574474484502861416] |
Generators of the group modulo torsion |
j |
4599709511865552097278049/147739570527296000000 |
j-invariant |
L |
7.3984390300308 |
L(r)(E,1)/r! |
Ω |
0.033430317304151 |
Real period |
R |
55.327316838779 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9790i1 |
Quadratic twists by: -11 |