Atkin-Lehner |
2- 7- 17+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
127568y |
Isogeny class |
Conductor |
127568 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
391680 |
Modular degree for the optimal curve |
Δ |
-158624313257984 = -1 · 212 · 76 · 173 · 67 |
Discriminant |
Eigenvalues |
2- -1 2 7- -5 -4 17+ -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,8603,-525235] |
[a1,a2,a3,a4,a6] |
Generators |
[52:245:1] |
Generators of the group modulo torsion |
j |
17189492314112/38726638979 |
j-invariant |
L |
4.0354572337751 |
L(r)(E,1)/r! |
Ω |
0.29853417983411 |
Real period |
R |
2.2529286739964 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999876786 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7973c1 |
Quadratic twists by: -4 |