Atkin-Lehner |
2- 5- 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
37240s |
Isogeny class |
Conductor |
37240 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
119808 |
Modular degree for the optimal curve |
Δ |
-9513568736000 = -1 · 28 · 53 · 77 · 192 |
Discriminant |
Eigenvalues |
2- -3 5- 7- -1 -5 -5 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,4508,91924] |
[a1,a2,a3,a4,a6] |
Generators |
[-12:190:1] [28:-490:1] |
Generators of the group modulo torsion |
j |
336393216/315875 |
j-invariant |
L |
5.8596038827028 |
L(r)(E,1)/r! |
Ω |
0.4768268099635 |
Real period |
R |
0.25601555604426 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
74480t1 5320f1 |
Quadratic twists by: -4 -7 |