Atkin-Lehner |
2+ 3+ 5- 7- 41- |
Signs for the Atkin-Lehner involutions |
Class |
68880n |
Isogeny class |
Conductor |
68880 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
deg |
1392640 |
Modular degree for the optimal curve |
Δ |
957245206050000 = 24 · 34 · 55 · 78 · 41 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- 0 2 6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-3460175,-2476241250] |
[a1,a2,a3,a4,a6] |
j |
286350566727433259923456/59827825378125 |
j-invariant |
L |
2.2138848821231 |
L(r)(E,1)/r! |
Ω |
0.11069424275506 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
34440x1 |
Quadratic twists by: -4 |