Atkin-Lehner |
2+ 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
11200bo |
Isogeny class |
Conductor |
11200 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
640 |
Modular degree for the optimal curve |
Δ |
-56000 = -1 · 26 · 53 · 7 |
Discriminant |
Eigenvalues |
2+ 1 5- 7- 3 1 -7 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,7,-7] |
[a1,a2,a3,a4,a6] |
Generators |
[8:25:1] |
Generators of the group modulo torsion |
j |
4096/7 |
j-invariant |
L |
5.510906889179 |
L(r)(E,1)/r! |
Ω |
1.8558162711097 |
Real period |
R |
1.4847662925931 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11200cy1 175a1 100800ib1 11200bf1 |
Quadratic twists by: -4 8 -3 5 |