Atkin-Lehner |
2- 5- 11+ 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
121550ca |
Isogeny class |
Conductor |
121550 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
380160 |
Modular degree for the optimal curve |
Δ |
-4596109375000 = -1 · 23 · 59 · 113 · 13 · 17 |
Discriminant |
Eigenvalues |
2- -2 5- 5 11+ 13- 17+ -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,2862,84892] |
[a1,a2,a3,a4,a6] |
j |
1327373299/2353208 |
j-invariant |
L |
3.1837004014204 |
L(r)(E,1)/r! |
Ω |
0.53061673078448 |
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 |
121550t1 |
Quadratic twists by: 5 |