Atkin-Lehner |
2+ 3+ 5- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
55200l |
Isogeny class |
Conductor |
55200 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
130560 |
Modular degree for the optimal curve |
Δ |
331200000000 = 212 · 32 · 58 · 23 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 1 5 5 0 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-36833,-2708463] |
[a1,a2,a3,a4,a6] |
j |
3454035520/207 |
j-invariant |
L |
2.7569624293748 |
L(r)(E,1)/r! |
Ω |
0.34462030348005 |
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 |
55200cv1 110400ep1 55200ck1 |
Quadratic twists by: -4 8 5 |