Atkin-Lehner |
2+ 3+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
34656h |
Isogeny class |
Conductor |
34656 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
29952 |
Modular degree for the optimal curve |
Δ |
-36835238592 = -1 · 26 · 313 · 192 |
Discriminant |
Eigenvalues |
2+ 3+ 2 1 0 5 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1602,26892] |
[a1,a2,a3,a4,a6] |
j |
-19692240832/1594323 |
j-invariant |
L |
2.2662580688042 |
L(r)(E,1)/r! |
Ω |
1.1331290343979 |
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 |
34656q1 69312dq1 103968cc1 34656bb1 |
Quadratic twists by: -4 8 -3 -19 |