Atkin-Lehner |
37+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
99937c |
Isogeny class |
Conductor |
99937 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
3874176 |
Modular degree for the optimal curve |
Δ |
1.8706210668049E+21 |
Discriminant |
Eigenvalues |
-1 0 2 2 -2 2 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-10470369,12875924000] |
[a1,a2,a3,a4,a6] |
j |
49476536631111897/729080489737 |
j-invariant |
L |
0.44577380349202 |
L(r)(E,1)/r! |
Ω |
0.14859128606794 |
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 |
2701a1 |
Quadratic twists by: 37 |