Atkin-Lehner |
2- 5+ 11+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
4070d |
Isogeny class |
Conductor |
4070 |
Conductor |
∏ cp |
5 |
Product of Tamagawa factors cp |
deg |
2600 |
Modular degree for the optimal curve |
Δ |
-953421920 = -1 · 25 · 5 · 115 · 37 |
Discriminant |
Eigenvalues |
2- 1 5+ 5 11+ -2 -4 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,174,-1180] |
[a1,a2,a3,a4,a6] |
j |
582392067551/953421920 |
j-invariant |
L |
4.1296358571474 |
L(r)(E,1)/r! |
Ω |
0.82592717142948 |
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 |
32560j1 36630q1 20350e1 44770c1 |
Quadratic twists by: -4 -3 5 -11 |