Atkin-Lehner |
2- 5+ 19+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
92720j |
Isogeny class |
Conductor |
92720 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
63360 |
Modular degree for the optimal curve |
Δ |
-243059916800 = -1 · 223 · 52 · 19 · 61 |
Discriminant |
Eigenvalues |
2- 1 5+ 0 1 -5 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,1504,8180] |
[a1,a2,a3,a4,a6] |
Generators |
[26:-256:1] [47:430:1] |
Generators of the group modulo torsion |
j |
91794884831/59340800 |
j-invariant |
L |
12.215667868712 |
L(r)(E,1)/r! |
Ω |
0.61673851962086 |
Real period |
R |
2.4758604093839 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.9999999999461 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11590j1 |
Quadratic twists by: -4 |