Atkin-Lehner |
2+ 3- 5+ 101+ |
Signs for the Atkin-Lehner involutions |
Class |
121200bc |
Isogeny class |
Conductor |
121200 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
483840 |
Modular degree for the optimal curve |
Δ |
-312953928750000 = -1 · 24 · 35 · 57 · 1013 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 3 1 0 3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-38883,3058488] |
[a1,a2,a3,a4,a6] |
j |
-26006036555776/1251815715 |
j-invariant |
L |
5.3830501836381 |
L(r)(E,1)/r! |
Ω |
0.53830508939762 |
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 |
60600b1 24240d1 |
Quadratic twists by: -4 5 |