Atkin-Lehner |
2+ 5+ 7- 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
50050o |
Isogeny class |
Conductor |
50050 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
19968 |
Modular degree for the optimal curve |
Δ |
-205004800 = -1 · 213 · 52 · 7 · 11 · 13 |
Discriminant |
Eigenvalues |
2+ 0 5+ 7- 11+ 13- -3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-572,5456] |
[a1,a2,a3,a4,a6] |
Generators |
[13:3:1] |
Generators of the group modulo torsion |
j |
-828702790785/8200192 |
j-invariant |
L |
4.0988256535465 |
L(r)(E,1)/r! |
Ω |
1.7903476098072 |
Real period |
R |
2.2894021423905 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000073 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
50050by1 |
Quadratic twists by: 5 |