Atkin-Lehner |
2+ 5- 7+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
103600q |
Isogeny class |
Conductor |
103600 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
257280 |
Modular degree for the optimal curve |
Δ |
-396593750000 = -1 · 24 · 59 · 73 · 37 |
Discriminant |
Eigenvalues |
2+ 1 5- 7+ -4 -4 -2 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-67208,6683963] |
[a1,a2,a3,a4,a6] |
Generators |
[149:11:1] |
Generators of the group modulo torsion |
j |
-1074343269632/12691 |
j-invariant |
L |
5.1063610461189 |
L(r)(E,1)/r! |
Ω |
0.86143757416898 |
Real period |
R |
2.9638601732017 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000020682 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
51800j1 103600x1 |
Quadratic twists by: -4 5 |