Atkin-Lehner |
2+ 3- 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
3822o |
Isogeny class |
Conductor |
3822 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
4032 |
Modular degree for the optimal curve |
Δ |
-289371264 = -1 · 27 · 3 · 73 · 133 |
Discriminant |
Eigenvalues |
2+ 3- -1 7- 5 13- 3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-3099,-66650] |
[a1,a2,a3,a4,a6] |
j |
-9591639636223/843648 |
j-invariant |
L |
1.9196847393309 |
L(r)(E,1)/r! |
Ω |
0.31994745655515 |
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 |
30576cb1 122304q1 11466ck1 95550gy1 |
Quadratic twists by: -4 8 -3 5 |