Atkin-Lehner |
2- 3+ 5+ 11+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
30360t |
Isogeny class |
Conductor |
30360 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
5760 |
Modular degree for the optimal curve |
Δ |
-971520 = -1 · 28 · 3 · 5 · 11 · 23 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 4 11+ -1 6 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-41,-99] |
[a1,a2,a3,a4,a6] |
j |
-30505984/3795 |
j-invariant |
L |
1.8698706070565 |
L(r)(E,1)/r! |
Ω |
0.93493530352851 |
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 |
60720y1 91080bc1 |
Quadratic twists by: -4 -3 |