Atkin-Lehner |
2- 5+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
2350i |
Isogeny class |
Conductor |
2350 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
2688 |
Modular degree for the optimal curve |
Δ |
229492187500 = 22 · 513 · 47 |
Discriminant |
Eigenvalues |
2- 1 5+ 1 1 5 0 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-2438,39992] |
[a1,a2,a3,a4,a6] |
j |
102568953241/14687500 |
j-invariant |
L |
3.8135651748932 |
L(r)(E,1)/r! |
Ω |
0.9533912937233 |
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 |
18800bc1 75200d1 21150z1 470c1 |
Quadratic twists by: -4 8 -3 5 |