Atkin-Lehner |
2- 5+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
30400bp |
Isogeny class |
Conductor |
30400 |
Conductor |
∏ cp |
5 |
Product of Tamagawa factors cp |
deg |
51840 |
Modular degree for the optimal curve |
Δ |
-2476099000000 = -1 · 26 · 56 · 195 |
Discriminant |
Eigenvalues |
2- 0 5+ -5 -5 -4 3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-350,75750] |
[a1,a2,a3,a4,a6] |
Generators |
[41:361:1] |
Generators of the group modulo torsion |
j |
-4741632/2476099 |
j-invariant |
L |
2.7546983017861 |
L(r)(E,1)/r! |
Ω |
0.65970422194111 |
Real period |
R |
0.83513132405934 |
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 |
30400bc1 15200b1 1216n1 |
Quadratic twists by: -4 8 5 |