Atkin-Lehner |
2+ 7- 19- 29- |
Signs for the Atkin-Lehner involutions |
Class |
53998f |
Isogeny class |
Conductor |
53998 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
135168 |
Modular degree for the optimal curve |
Δ |
-11828933527124 = -1 · 22 · 710 · 192 · 29 |
Discriminant |
Eigenvalues |
2+ 1 3 7- 3 3 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,5658,-22788] |
[a1,a2,a3,a4,a6] |
j |
170307838007/100544276 |
j-invariant |
L |
3.3520255593631 |
L(r)(E,1)/r! |
Ω |
0.4190031947943 |
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 |
7714b1 |
Quadratic twists by: -7 |