Atkin-Lehner |
2+ 3+ 13- 31- |
Signs for the Atkin-Lehner involutions |
Class |
7254c |
Isogeny class |
Conductor |
7254 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
704 |
Modular degree for the optimal curve |
Δ |
174096 = 24 · 33 · 13 · 31 |
Discriminant |
Eigenvalues |
2+ 3+ 2 0 -2 13- 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-21,37] |
[a1,a2,a3,a4,a6] |
Generators |
[-1:8:1] |
Generators of the group modulo torsion |
j |
38958219/6448 |
j-invariant |
L |
3.5599657510217 |
L(r)(E,1)/r! |
Ω |
3.0684786703555 |
Real period |
R |
1.1601728848287 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
58032t1 7254k1 94302bj1 |
Quadratic twists by: -4 -3 13 |