Atkin-Lehner |
2+ 5+ 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
80960l |
Isogeny class |
Conductor |
80960 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
153600 |
Modular degree for the optimal curve |
Δ |
-21927854080 = -1 · 215 · 5 · 11 · 233 |
Discriminant |
Eigenvalues |
2+ 0 5+ -3 11- -4 -8 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-29228,1923312] |
[a1,a2,a3,a4,a6] |
Generators |
[104:92:1] |
Generators of the group modulo torsion |
j |
-84269627303688/669185 |
j-invariant |
L |
2.9784640739053 |
L(r)(E,1)/r! |
Ω |
1.083870123388 |
Real period |
R |
0.45799830459232 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001496 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
80960a1 40480h1 |
Quadratic twists by: -4 8 |