Atkin-Lehner |
2- 3+ 5+ 7+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
30660b |
Isogeny class |
Conductor |
30660 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
7776 |
Modular degree for the optimal curve |
Δ |
-26858160 = -1 · 24 · 32 · 5 · 7 · 732 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ 4 2 2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-61,-290] |
[a1,a2,a3,a4,a6] |
j |
-1594753024/1678635 |
j-invariant |
L |
2.4561818444393 |
L(r)(E,1)/r! |
Ω |
0.81872728147971 |
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 |
122640ck1 91980ba1 |
Quadratic twists by: -4 -3 |