Atkin-Lehner |
2- 3- 13+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
112554r |
Isogeny class |
Conductor |
112554 |
Conductor |
∏ cp |
132 |
Product of Tamagawa factors cp |
deg |
7907328 |
Modular degree for the optimal curve |
Δ |
-4.9968290317113E+21 |
Discriminant |
Eigenvalues |
2- 3- 1 -2 -5 13+ -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1003892,-3422703657] |
[a1,a2,a3,a4,a6] |
Generators |
[1817:26469:1] |
Generators of the group modulo torsion |
j |
-188152476889/8402724864 |
j-invariant |
L |
9.6488839165133 |
L(r)(E,1)/r! |
Ω |
0.059774123755481 |
Real period |
R |
1.2228971383673 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000073757 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
37518a1 112554g1 |
Quadratic twists by: -3 13 |