Atkin-Lehner |
2+ 3- 5+ 7- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
14490q |
Isogeny class |
Conductor |
14490 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
24576 |
Modular degree for the optimal curve |
Δ |
60844089600 = 28 · 310 · 52 · 7 · 23 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 6 0 -6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-2205,-37499] |
[a1,a2,a3,a4,a6] |
Generators |
[-27:56:1] |
Generators of the group modulo torsion |
j |
1626794704081/83462400 |
j-invariant |
L |
3.5175707618063 |
L(r)(E,1)/r! |
Ω |
0.69890914842671 |
Real period |
R |
2.5164721120939 |
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 |
115920dg1 4830z1 72450dy1 101430ci1 |
Quadratic twists by: -4 -3 5 -7 |