Atkin-Lehner |
2- 5+ 7+ |
Signs for the Atkin-Lehner involutions |
Class |
2800o |
Isogeny class |
Conductor |
2800 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
2304 |
Modular degree for the optimal curve |
Δ |
-179200000000 = -1 · 216 · 58 · 7 |
Discriminant |
Eigenvalues |
2- 0 5+ 7+ -4 6 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,925,17250] |
[a1,a2,a3,a4,a6] |
j |
1367631/2800 |
j-invariant |
L |
1.4018989853723 |
L(r)(E,1)/r! |
Ω |
0.70094949268616 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
350a1 11200bu1 25200dy1 560d1 |
Quadratic twists by: -4 8 -3 5 |