Atkin-Lehner |
2+ 3- 5- 37- |
Signs for the Atkin-Lehner involutions |
Class |
123210bw |
Isogeny class |
Conductor |
123210 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
419328 |
Modular degree for the optimal curve |
Δ |
-1512490475520 = -1 · 213 · 36 · 5 · 373 |
Discriminant |
Eigenvalues |
2+ 3- 5- 5 3 -2 -1 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-19959,1091933] |
[a1,a2,a3,a4,a6] |
j |
-23813300133/40960 |
j-invariant |
L |
3.3940270016089 |
L(r)(E,1)/r! |
Ω |
0.8485067775003 |
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 |
13690j1 123210de1 |
Quadratic twists by: -3 37 |