Atkin-Lehner |
2+ 5+ 17- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
51850c |
Isogeny class |
Conductor |
51850 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
16800 |
Modular degree for the optimal curve |
Δ |
26547200 = 210 · 52 · 17 · 61 |
Discriminant |
Eigenvalues |
2+ 0 5+ 3 -3 -7 17- -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-77,101] |
[a1,a2,a3,a4,a6] |
Generators |
[-5:21:1] [10:11:1] |
Generators of the group modulo torsion |
j |
2034345105/1061888 |
j-invariant |
L |
7.3043975267649 |
L(r)(E,1)/r! |
Ω |
1.8577065997568 |
Real period |
R |
1.9659717868582 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
51850w1 |
Quadratic twists by: 5 |