Atkin-Lehner |
3+ 19- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
120213a |
Isogeny class |
Conductor |
120213 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
506880 |
Modular degree for the optimal curve |
Δ |
33040181088657 = 33 · 197 · 372 |
Discriminant |
Eigenvalues |
1 3+ 0 0 -2 -2 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-586512,173033939] |
[a1,a2,a3,a4,a6] |
j |
17565861949875/26011 |
j-invariant |
L |
1.1164332274335 |
L(r)(E,1)/r! |
Ω |
0.55821673395985 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
120213b1 6327b1 |
Quadratic twists by: -3 -19 |