Atkin-Lehner |
2- 3- 5+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
68400fo |
Isogeny class |
Conductor |
68400 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
537600 |
Modular degree for the optimal curve |
Δ |
-52344812736000000 = -1 · 212 · 316 · 56 · 19 |
Discriminant |
Eigenvalues |
2- 3- 5+ 3 -3 6 3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,70800,-8282000] |
[a1,a2,a3,a4,a6] |
j |
841232384/1121931 |
j-invariant |
L |
3.4073128311593 |
L(r)(E,1)/r! |
Ω |
0.18929515673973 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4275i1 22800di1 2736s1 |
Quadratic twists by: -4 -3 5 |