Atkin-Lehner |
2- 3+ 5- 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
64350de |
Isogeny class |
Conductor |
64350 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
13312 |
Modular degree for the optimal curve |
Δ |
1930500 = 22 · 33 · 53 · 11 · 13 |
Discriminant |
Eigenvalues |
2- 3+ 5- 2 11+ 13- -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-35,-33] |
[a1,a2,a3,a4,a6] |
j |
1367631/572 |
j-invariant |
L |
4.0834282537589 |
L(r)(E,1)/r! |
Ω |
2.0417141272805 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
64350t1 64350q1 |
Quadratic twists by: -3 5 |