Atkin-Lehner |
2+ 3+ 5- 7+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
112560i |
Isogeny class |
Conductor |
112560 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
322560 |
Modular degree for the optimal curve |
Δ |
-51333882289200 = -1 · 24 · 35 · 52 · 76 · 672 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7+ 6 2 4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-5635,-379358] |
[a1,a2,a3,a4,a6] |
Generators |
[148426146:-1476224470:970299] |
Generators of the group modulo torsion |
j |
-1236979662186496/3208367643075 |
j-invariant |
L |
7.0275298692733 |
L(r)(E,1)/r! |
Ω |
0.25623926939089 |
Real period |
R |
13.712827641433 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999957669 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
56280ba1 |
Quadratic twists by: -4 |