Atkin-Lehner |
3- 7- 23+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
42021j |
Isogeny class |
Conductor |
42021 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
124416 |
Modular degree for the optimal curve |
Δ |
-12603904803 = -1 · 36 · 72 · 233 · 29 |
Discriminant |
Eigenvalues |
2 3- -2 7- 4 1 5 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-23691,1403545] |
[a1,a2,a3,a4,a6] |
j |
-2017187935326208/17289307 |
j-invariant |
L |
4.5505073469697 |
L(r)(E,1)/r! |
Ω |
1.1376268367374 |
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 |
4669d1 |
Quadratic twists by: -3 |