Atkin-Lehner |
2- 5+ 17+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
51850p |
Isogeny class |
Conductor |
51850 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
97920 |
Modular degree for the optimal curve |
Δ |
-18730812500000 = -1 · 25 · 59 · 173 · 61 |
Discriminant |
Eigenvalues |
2- -1 5+ 1 -3 1 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,6187,93531] |
[a1,a2,a3,a4,a6] |
Generators |
[-5:252:1] |
Generators of the group modulo torsion |
j |
1676253304439/1198772000 |
j-invariant |
L |
6.9970407566927 |
L(r)(E,1)/r! |
Ω |
0.43678116144721 |
Real period |
R |
0.80097785507555 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000035 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10370b1 |
Quadratic twists by: 5 |