Atkin-Lehner |
2+ 3+ 5- 13- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
115050s |
Isogeny class |
Conductor |
115050 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
15713280 |
Modular degree for the optimal curve |
Δ |
-1.1522214975089E+23 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 3 -3 13- -2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-10689535,-21162758075] |
[a1,a2,a3,a4,a6] |
Generators |
[144237629458:13009159997599:15069223] |
Generators of the group modulo torsion |
j |
-1080662803792581355957421/921777198007119038208 |
j-invariant |
L |
4.5303732060095 |
L(r)(E,1)/r! |
Ω |
0.040300069151974 |
Real period |
R |
14.05200196098 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
115050cd1 |
Quadratic twists by: 5 |