Atkin-Lehner |
2- 3- 5+ 103+ |
Signs for the Atkin-Lehner involutions |
Class |
37080n |
Isogeny class |
Conductor |
37080 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
12800 |
Modular degree for the optimal curve |
Δ |
-768890880 = -1 · 211 · 36 · 5 · 103 |
Discriminant |
Eigenvalues |
2- 3- 5+ -2 -3 7 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,117,-1242] |
[a1,a2,a3,a4,a6] |
Generators |
[66:135:8] |
Generators of the group modulo torsion |
j |
118638/515 |
j-invariant |
L |
5.076211993089 |
L(r)(E,1)/r! |
Ω |
0.80682240464441 |
Real period |
R |
3.1458050519348 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999998 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
74160l1 4120a1 |
Quadratic twists by: -4 -3 |