Atkin-Lehner |
2- 5+ 7- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
51940b |
Isogeny class |
Conductor |
51940 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
91584 |
Modular degree for the optimal curve |
Δ |
10144531250000 = 24 · 512 · 72 · 53 |
Discriminant |
Eigenvalues |
2- 0 5+ 7- -3 5 -1 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-18368,945833] |
[a1,a2,a3,a4,a6] |
Generators |
[634:15625:1] |
Generators of the group modulo torsion |
j |
874164692975616/12939453125 |
j-invariant |
L |
5.070499156048 |
L(r)(E,1)/r! |
Ω |
0.72575994079275 |
Real period |
R |
1.1644114605558 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000039 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
51940e1 |
Quadratic twists by: -7 |