Atkin-Lehner |
2- 3+ 5- 11- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
37950cl |
Isogeny class |
Conductor |
37950 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
39744 |
Modular degree for the optimal curve |
Δ |
-49686986250 = -1 · 2 · 33 · 54 · 112 · 233 |
Discriminant |
Eigenvalues |
2- 3+ 5- -3 11- -6 -1 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-1238,-20419] |
[a1,a2,a3,a4,a6] |
j |
-335758915825/79499178 |
j-invariant |
L |
0.79489055261438 |
L(r)(E,1)/r! |
Ω |
0.39744527632407 |
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 |
113850cp1 37950bk1 |
Quadratic twists by: -3 5 |