Atkin-Lehner |
2+ 5+ 19- 47- |
Signs for the Atkin-Lehner involutions |
Class |
35720a |
Isogeny class |
Conductor |
35720 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
211968 |
Modular degree for the optimal curve |
Δ |
-12121224800000000 = -1 · 211 · 58 · 193 · 472 |
Discriminant |
Eigenvalues |
2+ -1 5+ 3 2 5 3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,29624,-4929940] |
[a1,a2,a3,a4,a6] |
Generators |
[39678:558125:216] |
Generators of the group modulo torsion |
j |
1403816028000622/5918566796875 |
j-invariant |
L |
5.480292232484 |
L(r)(E,1)/r! |
Ω |
0.20295513816132 |
Real period |
R |
2.2502067378587 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
71440a1 |
Quadratic twists by: -4 |