Atkin-Lehner |
2- 3- 7+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
122304gp |
Isogeny class |
Conductor |
122304 |
Conductor |
∏ cp |
68 |
Product of Tamagawa factors cp |
deg |
16450560 |
Modular degree for the optimal curve |
Δ |
-1.0554125527444E+24 |
Discriminant |
Eigenvalues |
2- 3- 1 7+ -1 13- -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-4437505,-49559827969] |
[a1,a2,a3,a4,a6] |
j |
-6394640503489/698390001504 |
j-invariant |
L |
2.6339695414698 |
L(r)(E,1)/r! |
Ω |
0.038734851313386 |
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 |
122304d1 30576bh1 122304fc1 |
Quadratic twists by: -4 8 -7 |