Atkin-Lehner |
2- 11- 31- |
Signs for the Atkin-Lehner involutions |
Class |
120032j |
Isogeny class |
Conductor |
120032 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
668160 |
Modular degree for the optimal curve |
Δ |
-37425345751552 = -1 · 29 · 119 · 31 |
Discriminant |
Eigenvalues |
2- -2 4 -5 11- 0 5 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1976,295612] |
[a1,a2,a3,a4,a6] |
j |
-941192/41261 |
j-invariant |
L |
2.1570703617432 |
L(r)(E,1)/r! |
Ω |
0.5392676810626 |
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 |
120032b1 10912c1 |
Quadratic twists by: -4 -11 |