Atkin-Lehner |
2+ 5- 17- 23- |
Signs for the Atkin-Lehner involutions |
Class |
78200n |
Isogeny class |
Conductor |
78200 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
222720 |
Modular degree for the optimal curve |
Δ |
2658800000000 = 210 · 58 · 172 · 23 |
Discriminant |
Eigenvalues |
2+ 2 5- 5 -3 3 17- -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-17208,-859588] |
[a1,a2,a3,a4,a6] |
j |
1408899940/6647 |
j-invariant |
L |
5.0034481124218 |
L(r)(E,1)/r! |
Ω |
0.41695401249116 |
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 |
78200r1 |
Quadratic twists by: 5 |