Atkin-Lehner |
2+ 3+ 7- 17- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
26418c |
Isogeny class |
Conductor |
26418 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1008000 |
Modular degree for the optimal curve |
Δ |
-1.8715663946079E+20 |
Discriminant |
Eigenvalues |
2+ 3+ -2 7- -2 -2 17- -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-1043366,775131540] |
[a1,a2,a3,a4,a6] |
Generators |
[4603:303518:1] |
Generators of the group modulo torsion |
j |
-125612946655846028234857/187156639460785913856 |
j-invariant |
L |
2.4366900018542 |
L(r)(E,1)/r! |
Ω |
0.16139351564156 |
Real period |
R |
7.5489092364337 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
79254bh1 |
Quadratic twists by: -3 |