Atkin-Lehner |
7+ 17- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
6307d |
Isogeny class |
Conductor |
6307 |
Conductor |
∏ cp |
5 |
Product of Tamagawa factors cp |
deg |
4400 |
Modular degree for the optimal curve |
Δ |
526766947 = 7 · 175 · 53 |
Discriminant |
Eigenvalues |
1 -1 0 7+ -5 -4 17- -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-7640,253873] |
[a1,a2,a3,a4,a6] |
Generators |
[48:1:1] [72:253:1] |
Generators of the group modulo torsion |
j |
49327897490943625/526766947 |
j-invariant |
L |
5.1258546078049 |
L(r)(E,1)/r! |
Ω |
1.4917407823989 |
Real period |
R |
0.68723127614199 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999994 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
100912be1 56763i1 44149b1 107219g1 |
Quadratic twists by: -4 -3 -7 17 |