Atkin-Lehner |
2- 3+ 5- 7- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
51240t |
Isogeny class |
Conductor |
51240 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
709632 |
Modular degree for the optimal curve |
Δ |
2420536608000 = 28 · 311 · 53 · 7 · 61 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- -3 1 3 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-3009025,2010035125] |
[a1,a2,a3,a4,a6] |
j |
11769588509018116719616/9455221125 |
j-invariant |
L |
3.0485214412812 |
L(r)(E,1)/r! |
Ω |
0.50808690692229 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
102480q1 |
Quadratic twists by: -4 |