Atkin-Lehner |
2- 3- 5+ 11- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
37950ct |
Isogeny class |
Conductor |
37950 |
Conductor |
∏ cp |
34 |
Product of Tamagawa factors cp |
deg |
310080 |
Modular degree for the optimal curve |
Δ |
-10686720000000000 = -1 · 217 · 3 · 510 · 112 · 23 |
Discriminant |
Eigenvalues |
2- 3- 5+ 1 11- 6 -3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,5612,-4970608] |
[a1,a2,a3,a4,a6] |
j |
2001574775/1094320128 |
j-invariant |
L |
6.445059290834 |
L(r)(E,1)/r! |
Ω |
0.18956056737807 |
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 |
113850bh1 37950q1 |
Quadratic twists by: -3 5 |