Atkin-Lehner |
2+ 5- 11+ 79+ |
Signs for the Atkin-Lehner involutions |
Class |
69520i |
Isogeny class |
Conductor |
69520 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
22400 |
Modular degree for the optimal curve |
Δ |
-702986240 = -1 · 211 · 5 · 11 · 792 |
Discriminant |
Eigenvalues |
2+ 1 5- -1 11+ -4 3 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,120,-1132] |
[a1,a2,a3,a4,a6] |
Generators |
[28:158:1] [58:452:1] |
Generators of the group modulo torsion |
j |
92536558/343255 |
j-invariant |
L |
12.172930639252 |
L(r)(E,1)/r! |
Ω |
0.8173233001458 |
Real period |
R |
1.8617067807039 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999851 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
34760h1 |
Quadratic twists by: -4 |