Atkin-Lehner |
2+ 3+ 5+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
55800c |
Isogeny class |
Conductor |
55800 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
14592 |
Modular degree for the optimal curve |
Δ |
-21427200 = -1 · 210 · 33 · 52 · 31 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -4 -6 2 -3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,45,190] |
[a1,a2,a3,a4,a6] |
Generators |
[-1:12:1] |
Generators of the group modulo torsion |
j |
14580/31 |
j-invariant |
L |
3.7598206694261 |
L(r)(E,1)/r! |
Ω |
1.4908082294014 |
Real period |
R |
0.63050038820062 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998537 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
111600g1 55800bg1 55800bl1 |
Quadratic twists by: -4 -3 5 |