Atkin-Lehner |
2+ 3- 5+ 7+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
51240f |
Isogeny class |
Conductor |
51240 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
deg |
148480 |
Modular degree for the optimal curve |
Δ |
-211023908847360 = -1 · 28 · 35 · 5 · 72 · 614 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ -4 2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,14884,0] |
[a1,a2,a3,a4,a6] |
Generators |
[976:-30744:1] |
Generators of the group modulo torsion |
j |
1424339610023216/824312143935 |
j-invariant |
L |
5.8742325635529 |
L(r)(E,1)/r! |
Ω |
0.33540641431104 |
Real period |
R |
0.87568876337879 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
102480f1 |
Quadratic twists by: -4 |