Atkin-Lehner |
2- 3+ 5+ 11+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
15180a |
Isogeny class |
Conductor |
15180 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
10080 |
Modular degree for the optimal curve |
Δ |
-9521867520 = -1 · 28 · 35 · 5 · 113 · 23 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 4 11+ 1 -6 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-461,-5895] |
[a1,a2,a3,a4,a6] |
j |
-42415857664/37194795 |
j-invariant |
L |
1.4905672560613 |
L(r)(E,1)/r! |
Ω |
0.49685575202042 |
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 |
60720cm1 45540z1 75900w1 |
Quadratic twists by: -4 -3 5 |