Atkin-Lehner |
2+ 3- 5+ 7+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
102480k |
Isogeny class |
Conductor |
102480 |
Conductor |
∏ cp |
11 |
Product of Tamagawa factors cp |
deg |
3463680 |
Modular degree for the optimal curve |
Δ |
865014677632062720 = 28 · 311 · 5 · 75 · 613 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ -3 7 3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-4742521,3973395395] |
[a1,a2,a3,a4,a6] |
j |
46079910435182444514304/3378963584500245 |
j-invariant |
L |
2.9424129030552 |
L(r)(E,1)/r! |
Ω |
0.26749209260316 |
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 |
51240a1 |
Quadratic twists by: -4 |