Atkin-Lehner |
2+ 5+ 11+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
116600b |
Isogeny class |
Conductor |
116600 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
774144 |
Modular degree for the optimal curve |
Δ |
-82625605040000000 = -1 · 210 · 57 · 117 · 53 |
Discriminant |
Eigenvalues |
2+ 1 5+ -3 11+ -1 -6 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,96592,-7567312] |
[a1,a2,a3,a4,a6] |
Generators |
[428:10600:1] |
Generators of the group modulo torsion |
j |
6229062792284/5164100315 |
j-invariant |
L |
5.1198183949348 |
L(r)(E,1)/r! |
Ω |
0.18911115451441 |
Real period |
R |
3.3841329881628 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000046018 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
23320c1 |
Quadratic twists by: 5 |