Atkin-Lehner |
2+ 3+ 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
35904o |
Isogeny class |
Conductor |
35904 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
6144 |
Modular degree for the optimal curve |
Δ |
-27574272 = -1 · 214 · 32 · 11 · 17 |
Discriminant |
Eigenvalues |
2+ 3+ 2 -1 11- -2 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,43,-243] |
[a1,a2,a3,a4,a6] |
j |
524288/1683 |
j-invariant |
L |
2.1525539098775 |
L(r)(E,1)/r! |
Ω |
1.0762769549373 |
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 |
35904cj1 2244c1 107712bp1 |
Quadratic twists by: -4 8 -3 |