Atkin-Lehner |
2- 3- 5+ 7+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
38220r |
Isogeny class |
Conductor |
38220 |
Conductor |
∏ cp |
81 |
Product of Tamagawa factors cp |
deg |
408240 |
Modular degree for the optimal curve |
Δ |
-47202928482528000 = -1 · 28 · 39 · 53 · 78 · 13 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 0 13- 3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-353061,81302535] |
[a1,a2,a3,a4,a6] |
j |
-3297994276864/31984875 |
j-invariant |
L |
3.2386053961559 |
L(r)(E,1)/r! |
Ω |
0.35984504402167 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
114660bl1 38220k1 |
Quadratic twists by: -3 -7 |