Atkin-Lehner |
2+ 3+ 5+ 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
102960a |
Isogeny class |
Conductor |
102960 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
110592 |
Modular degree for the optimal curve |
Δ |
73181394000 = 24 · 39 · 53 · 11 · 132 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 0 11+ 13+ 4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-12258,522207] |
[a1,a2,a3,a4,a6] |
Generators |
[319:5392:1] |
Generators of the group modulo torsion |
j |
646801901568/232375 |
j-invariant |
L |
6.1158980588627 |
L(r)(E,1)/r! |
Ω |
1.0715853216368 |
Real period |
R |
5.7073365193546 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000031199 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
51480b1 102960k1 |
Quadratic twists by: -4 -3 |