Atkin-Lehner |
2+ 5- 59- |
Signs for the Atkin-Lehner involutions |
Class |
2950j |
Isogeny class |
Conductor |
2950 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
5400 |
Modular degree for the optimal curve |
Δ |
-11800000000 = -1 · 29 · 58 · 59 |
Discriminant |
Eigenvalues |
2+ 0 5- 1 1 5 -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-46367,3854541] |
[a1,a2,a3,a4,a6] |
Generators |
[125:-54:1] |
Generators of the group modulo torsion |
j |
-28222529675625/30208 |
j-invariant |
L |
2.5409863939834 |
L(r)(E,1)/r! |
Ω |
1.0695425466393 |
Real period |
R |
2.3757693436019 |
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 |
23600ba1 94400bb1 26550ch1 2950n1 |
Quadratic twists by: -4 8 -3 5 |