Atkin-Lehner |
2- 3- 5+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
68400fv |
Isogeny class |
Conductor |
68400 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
207360 |
Modular degree for the optimal curve |
Δ |
6492656250000 = 24 · 37 · 510 · 19 |
Discriminant |
Eigenvalues |
2- 3- 5+ -5 2 2 4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-13125,-565625] |
[a1,a2,a3,a4,a6] |
j |
2195200/57 |
j-invariant |
L |
1.7869925086332 |
L(r)(E,1)/r! |
Ω |
0.44674812393652 |
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 |
17100t1 22800dm1 68400gn1 |
Quadratic twists by: -4 -3 5 |