Atkin-Lehner |
2+ 3+ 5- 31- |
Signs for the Atkin-Lehner involutions |
Class |
37200l |
Isogeny class |
Conductor |
37200 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
241920 |
Modular degree for the optimal curve |
Δ |
6515291700000000 = 28 · 37 · 58 · 313 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 0 1 0 -3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-358833,82763037] |
[a1,a2,a3,a4,a6] |
Generators |
[188:4681:1] |
Generators of the group modulo torsion |
j |
51097782154240/65152917 |
j-invariant |
L |
4.4517607462566 |
L(r)(E,1)/r! |
Ω |
0.42136618444851 |
Real period |
R |
3.5216880317397 |
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 |
18600bc1 111600ca1 37200v1 |
Quadratic twists by: -4 -3 5 |