Atkin-Lehner |
2- 3- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
1470q |
Isogeny class |
Conductor |
1470 |
Conductor |
∏ cp |
26 |
Product of Tamagawa factors cp |
deg |
21840 |
Modular degree for the optimal curve |
Δ |
-65082297369600000 = -1 · 213 · 32 · 55 · 710 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- -5 5 4 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-146511,-24843015] |
[a1,a2,a3,a4,a6] |
j |
-1231272543361/230400000 |
j-invariant |
L |
3.1404488349911 |
L(r)(E,1)/r! |
Ω |
0.1207864936535 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11760bs1 47040bt1 4410u1 7350k1 |
Quadratic twists by: -4 8 -3 5 |