Atkin-Lehner |
2+ 19- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
35264i |
Isogeny class |
Conductor |
35264 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
98304 |
Modular degree for the optimal curve |
Δ |
-179856050487296 = -1 · 234 · 192 · 29 |
Discriminant |
Eigenvalues |
2+ 1 1 0 -3 5 -4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-23105,1490207] |
[a1,a2,a3,a4,a6] |
j |
-5203798902289/686096384 |
j-invariant |
L |
2.208520541254 |
L(r)(E,1)/r! |
Ω |
0.55213013530787 |
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 |
35264t1 1102c1 |
Quadratic twists by: -4 8 |