Atkin-Lehner |
2+ 3+ 5+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
3450c |
Isogeny class |
Conductor |
3450 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
5760 |
Modular degree for the optimal curve |
Δ |
-126960000000 = -1 · 210 · 3 · 57 · 232 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 0 -2 -4 -6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-6125,-187875] |
[a1,a2,a3,a4,a6] |
j |
-1626794704081/8125440 |
j-invariant |
L |
0.53949081770207 |
L(r)(E,1)/r! |
Ω |
0.26974540885103 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
27600cg1 110400dn1 10350bi1 690j1 |
Quadratic twists by: -4 8 -3 5 |