Atkin-Lehner |
2- 7+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
15008i |
Isogeny class |
Conductor |
15008 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1920 |
Modular degree for the optimal curve |
Δ |
1470784 = 26 · 73 · 67 |
Discriminant |
Eigenvalues |
2- -1 1 7+ -6 -1 -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-70,-196] |
[a1,a2,a3,a4,a6] |
Generators |
[-5:2:1] [-4:2:1] |
Generators of the group modulo torsion |
j |
601211584/22981 |
j-invariant |
L |
5.7798398076949 |
L(r)(E,1)/r! |
Ω |
1.6524575509378 |
Real period |
R |
1.7488618102217 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999989 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15008g1 30016i1 105056i1 |
Quadratic twists by: -4 8 -7 |