Atkin-Lehner |
2+ 5+ 7- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
81200i |
Isogeny class |
Conductor |
81200 |
Conductor |
∏ cp |
5 |
Product of Tamagawa factors cp |
deg |
441600 |
Modular degree for the optimal curve |
Δ |
-76156718750000 = -1 · 24 · 510 · 75 · 29 |
Discriminant |
Eigenvalues |
2+ -1 5+ 7- 2 -6 5 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-109583,-13932338] |
[a1,a2,a3,a4,a6] |
j |
-931402086400/487403 |
j-invariant |
L |
0.6559787250298 |
L(r)(E,1)/r! |
Ω |
0.13119576035098 |
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 |
40600l1 81200s1 |
Quadratic twists by: -4 5 |