Atkin-Lehner |
2+ 5+ 13- 37- |
Signs for the Atkin-Lehner involutions |
Class |
38480f |
Isogeny class |
Conductor |
38480 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
32256 |
Modular degree for the optimal curve |
Δ |
15399388160 = 210 · 5 · 133 · 372 |
Discriminant |
Eigenvalues |
2+ 0 5+ -4 0 13- -4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3563,81642] |
[a1,a2,a3,a4,a6] |
Generators |
[29:52:1] |
Generators of the group modulo torsion |
j |
4885074851076/15038465 |
j-invariant |
L |
2.9836152693447 |
L(r)(E,1)/r! |
Ω |
1.2481485654309 |
Real period |
R |
0.39840546656851 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000003 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
19240d1 |
Quadratic twists by: -4 |