Atkin-Lehner |
2- 5- 47- |
Signs for the Atkin-Lehner involutions |
Class |
18800bp |
Isogeny class |
Conductor |
18800 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
224640 |
Modular degree for the optimal curve |
Δ |
-28953804800000000 = -1 · 225 · 58 · 472 |
Discriminant |
Eigenvalues |
2- 1 5- -4 -5 4 5 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-307208,-66150412] |
[a1,a2,a3,a4,a6] |
j |
-2004023020585/18096128 |
j-invariant |
L |
0.81071336627773 |
L(r)(E,1)/r! |
Ω |
0.10133917078472 |
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 |
2350f1 75200dz1 18800v1 |
Quadratic twists by: -4 8 5 |