Atkin-Lehner |
2- 3- 5+ 103+ |
Signs for the Atkin-Lehner involutions |
Class |
37080o |
Isogeny class |
Conductor |
37080 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
199680 |
Modular degree for the optimal curve |
Δ |
-350325907200000 = -1 · 211 · 312 · 55 · 103 |
Discriminant |
Eigenvalues |
2- 3- 5+ 4 -5 -5 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-48603,4221398] |
[a1,a2,a3,a4,a6] |
Generators |
[866:3825:8] |
Generators of the group modulo torsion |
j |
-8504630737202/234646875 |
j-invariant |
L |
5.4526728667054 |
L(r)(E,1)/r! |
Ω |
0.53738962635896 |
Real period |
R |
5.0732956120202 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
74160n1 12360a1 |
Quadratic twists by: -4 -3 |