Atkin-Lehner |
2- 3- 7+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
1554k |
Isogeny class |
Conductor |
1554 |
Conductor |
∏ cp |
39 |
Product of Tamagawa factors cp |
deg |
624 |
Modular degree for the optimal curve |
Δ |
-57286656 = -1 · 213 · 33 · 7 · 37 |
Discriminant |
Eigenvalues |
2- 3- -3 7+ -4 2 -6 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,38,356] |
[a1,a2,a3,a4,a6] |
Generators |
[-4:14:1] |
Generators of the group modulo torsion |
j |
6058428767/57286656 |
j-invariant |
L |
3.8871909322383 |
L(r)(E,1)/r! |
Ω |
1.4540151346005 |
Real period |
R |
0.06854919181599 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12432bh1 49728k1 4662c1 38850p1 |
Quadratic twists by: -4 8 -3 5 |