Atkin-Lehner |
3- 7- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
28749j |
Isogeny class |
Conductor |
28749 |
Conductor |
∏ cp |
5 |
Product of Tamagawa factors cp |
deg |
5040 |
Modular degree for the optimal curve |
Δ |
2328669 = 35 · 7 · 372 |
Discriminant |
Eigenvalues |
0 3- -2 7- -4 -4 -7 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-49,-128] |
[a1,a2,a3,a4,a6] |
Generators |
[-4:4:1] |
Generators of the group modulo torsion |
j |
9699328/1701 |
j-invariant |
L |
3.7041986613961 |
L(r)(E,1)/r! |
Ω |
1.8230463964721 |
Real period |
R |
0.4063745901985 |
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 |
86247m1 28749i1 |
Quadratic twists by: -3 37 |