Atkin-Lehner |
2+ 5+ 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
37400a |
Isogeny class |
Conductor |
37400 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
13824 |
Modular degree for the optimal curve |
Δ |
-144812800 = -1 · 28 · 52 · 113 · 17 |
Discriminant |
Eigenvalues |
2+ 0 5+ -3 11+ -4 17+ 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-335,-2430] |
[a1,a2,a3,a4,a6] |
Generators |
[59:428:1] |
Generators of the group modulo torsion |
j |
-649648080/22627 |
j-invariant |
L |
3.9534780739598 |
L(r)(E,1)/r! |
Ω |
0.55682682579137 |
Real period |
R |
3.5500068341179 |
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 |
74800f1 37400v1 |
Quadratic twists by: -4 5 |