Atkin-Lehner |
3- 5+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
119025bj |
Isogeny class |
Conductor |
119025 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
18247680 |
Modular degree for the optimal curve |
Δ |
1.0386353858079E+24 |
Discriminant |
Eigenvalues |
-1 3- 5+ -3 -1 -1 4 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-90818555,329521461572] |
[a1,a2,a3,a4,a6] |
Generators |
[7228:221475:1] |
Generators of the group modulo torsion |
j |
78605490625/985527 |
j-invariant |
L |
2.2288000782951 |
L(r)(E,1)/r! |
Ω |
0.087844238178598 |
Real period |
R |
3.1715227644438 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000311495 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
39675be1 119025ch1 5175m1 |
Quadratic twists by: -3 5 -23 |