Atkin-Lehner |
2+ 3- 19+ 89- |
Signs for the Atkin-Lehner involutions |
Class |
121752n |
Isogeny class |
Conductor |
121752 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
752640 |
Modular degree for the optimal curve |
Δ |
2783774030306832 = 24 · 37 · 197 · 89 |
Discriminant |
Eigenvalues |
2+ 3- -2 4 2 -7 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-37011,1032919] |
[a1,a2,a3,a4,a6] |
Generators |
[26:297:1] |
Generators of the group modulo torsion |
j |
480693953728768/238663754313 |
j-invariant |
L |
6.647129355935 |
L(r)(E,1)/r! |
Ω |
0.40195495490198 |
Real period |
R |
4.1342501794408 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999672227 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
40584y1 |
Quadratic twists by: -3 |