Atkin-Lehner |
2- 3+ 5+ 7- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
102480bc |
Isogeny class |
Conductor |
102480 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
57600 |
Modular degree for the optimal curve |
Δ |
3936871680 = 28 · 3 · 5 · 75 · 61 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- -3 3 -1 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-581,4665] |
[a1,a2,a3,a4,a6] |
Generators |
[-11:98:1] |
Generators of the group modulo torsion |
j |
84871020544/15378405 |
j-invariant |
L |
5.7329795293432 |
L(r)(E,1)/r! |
Ω |
1.3257935829233 |
Real period |
R |
0.43241871143578 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003084 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
25620f1 |
Quadratic twists by: -4 |