Atkin-Lehner |
2+ 3- 7- 19- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
37506m |
Isogeny class |
Conductor |
37506 |
Conductor |
∏ cp |
9 |
Product of Tamagawa factors cp |
deg |
16704 |
Modular degree for the optimal curve |
Δ |
121856994 = 2 · 33 · 7 · 193 · 47 |
Discriminant |
Eigenvalues |
2+ 3- -3 7- 0 5 -3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-225,1162] |
[a1,a2,a3,a4,a6] |
j |
1251680967433/121856994 |
j-invariant |
L |
1.8092520196099 |
L(r)(E,1)/r! |
Ω |
1.8092520196338 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
112518bp1 |
Quadratic twists by: -3 |