Atkin-Lehner |
2+ 3+ 5- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
29280h |
Isogeny class |
Conductor |
29280 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
29184 |
Modular degree for the optimal curve |
Δ |
-47066780160 = -1 · 29 · 34 · 5 · 613 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 0 6 -1 3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-3920,96360] |
[a1,a2,a3,a4,a6] |
j |
-13014357632648/91927305 |
j-invariant |
L |
2.277889335838 |
L(r)(E,1)/r! |
Ω |
1.1389446679193 |
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 |
29280z1 58560be1 87840bf1 |
Quadratic twists by: -4 8 -3 |