Atkin-Lehner |
2- 7- 29- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
120176w |
Isogeny class |
Conductor |
120176 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1317888 |
Modular degree for the optimal curve |
Δ |
-44260033122271232 = -1 · 234 · 74 · 29 · 37 |
Discriminant |
Eigenvalues |
2- 3 0 7- -3 -4 -3 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-109675,17259674] |
[a1,a2,a3,a4,a6] |
j |
-35619407691890625/10805672148992 |
j-invariant |
L |
2.727305570903 |
L(r)(E,1)/r! |
Ω |
0.34091331002895 |
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 |
15022f1 |
Quadratic twists by: -4 |