Atkin-Lehner |
2- 5+ 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
46550bv |
Isogeny class |
Conductor |
46550 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
129600 |
Modular degree for the optimal curve |
Δ |
5527812500000 = 25 · 510 · 72 · 192 |
Discriminant |
Eigenvalues |
2- 0 5+ 7- 0 2 1 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-73555,-7659053] |
[a1,a2,a3,a4,a6] |
Generators |
[-155:78:1] |
Generators of the group modulo torsion |
j |
91972640025/11552 |
j-invariant |
L |
8.7261188496668 |
L(r)(E,1)/r! |
Ω |
0.28990135094059 |
Real period |
R |
3.0100304194358 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999998 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
46550bc1 46550br1 |
Quadratic twists by: 5 -7 |