Atkin-Lehner |
2- 5+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
2950p |
Isogeny class |
Conductor |
2950 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
8448 |
Modular degree for the optimal curve |
Δ |
-4011308593750 = -1 · 2 · 510 · 593 |
Discriminant |
Eigenvalues |
2- 2 5+ -5 -3 1 -3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,3912,22031] |
[a1,a2,a3,a4,a6] |
Generators |
[750:8471:8] |
Generators of the group modulo torsion |
j |
423733973831/256723750 |
j-invariant |
L |
5.6433462058066 |
L(r)(E,1)/r! |
Ω |
0.48056387346016 |
Real period |
R |
1.95719602099 |
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 |
23600n1 94400k1 26550o1 590a1 |
Quadratic twists by: -4 8 -3 5 |