Atkin-Lehner |
2- 3+ 5- 7+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
121380q |
Isogeny class |
Conductor |
121380 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
5287680 |
Modular degree for the optimal curve |
Δ |
-3.0768873775789E+20 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7+ 4 -4 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-4203890,3424670337] |
[a1,a2,a3,a4,a6] |
j |
-73615029880576/2756768175 |
j-invariant |
L |
2.0534090748371 |
L(r)(E,1)/r! |
Ω |
0.17111744968719 |
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 |
121380bb1 |
Quadratic twists by: 17 |