Atkin-Lehner |
2+ 3- 7+ 11+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
119658bc |
Isogeny class |
Conductor |
119658 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
1241856 |
Modular degree for the optimal curve |
Δ |
-1393686760158 = -1 · 2 · 33 · 78 · 112 · 37 |
Discriminant |
Eigenvalues |
2+ 3- -2 7+ 11+ -1 -5 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-763397,-256791706] |
[a1,a2,a3,a4,a6] |
Generators |
[27726:1560509:8] |
Generators of the group modulo torsion |
j |
-8534732641779337/241758 |
j-invariant |
L |
4.3320553540025 |
L(r)(E,1)/r! |
Ω |
0.080757341591335 |
Real period |
R |
8.9404778366034 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000041921 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
119658m1 |
Quadratic twists by: -7 |