Atkin-Lehner |
2- 3+ 5+ 7- 73- |
Signs for the Atkin-Lehner involutions |
Class |
30660g |
Isogeny class |
Conductor |
30660 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
42336 |
Modular degree for the optimal curve |
Δ |
845066250000 = 24 · 33 · 57 · 73 · 73 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 5 -2 7 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2366,3405] |
[a1,a2,a3,a4,a6] |
j |
91586506572544/52816640625 |
j-invariant |
L |
2.2738033364022 |
L(r)(E,1)/r! |
Ω |
0.75793444546767 |
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 |
122640cg1 91980bn1 |
Quadratic twists by: -4 -3 |