Atkin-Lehner |
2- 3- 5+ 31- 41- |
Signs for the Atkin-Lehner involutions |
Class |
114390bo |
Isogeny class |
Conductor |
114390 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
1622016 |
Modular degree for the optimal curve |
Δ |
-74485572479409600 = -1 · 26 · 312 · 52 · 31 · 414 |
Discriminant |
Eigenvalues |
2- 3- 5+ -4 6 2 4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-197483,36290427] |
[a1,a2,a3,a4,a6] |
Generators |
[221:1734:1] |
Generators of the group modulo torsion |
j |
-1168377729398876521/102174996542400 |
j-invariant |
L |
10.136277053314 |
L(r)(E,1)/r! |
Ω |
0.3373552109079 |
Real period |
R |
1.2519293067999 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000044613 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
38130i1 |
Quadratic twists by: -3 |