Atkin-Lehner |
2- 3- 5- 13- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
37050cp |
Isogeny class |
Conductor |
37050 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
33600 |
Modular degree for the optimal curve |
Δ |
-24141965250 = -1 · 2 · 3 · 53 · 13 · 195 |
Discriminant |
Eigenvalues |
2- 3- 5- -2 -3 13- 3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,722,422] |
[a1,a2,a3,a4,a6] |
Generators |
[8682:62159:216] |
Generators of the group modulo torsion |
j |
332956652491/193135722 |
j-invariant |
L |
9.8225140563813 |
L(r)(E,1)/r! |
Ω |
0.71981469596201 |
Real period |
R |
6.822946316241 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
111150cj1 37050m1 |
Quadratic twists by: -3 5 |