Atkin-Lehner |
3+ 7- 17- 47- |
Signs for the Atkin-Lehner involutions |
Class |
117453m |
Isogeny class |
Conductor |
117453 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
33116160 |
Modular degree for the optimal curve |
Δ |
-6.2396431068355E+26 |
Discriminant |
Eigenvalues |
1 3+ 0 7- 2 0 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,150148225,971081676048] |
[a1,a2,a3,a4,a6] |
j |
3181969957761250582484375/5303609131259500019847 |
j-invariant |
L |
0.28090303927874 |
L(r)(E,1)/r! |
Ω |
0.035112967168686 |
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 |
16779l1 |
Quadratic twists by: -7 |