Atkin-Lehner |
2+ 3+ 7- 11- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
119658w |
Isogeny class |
Conductor |
119658 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
99072 |
Modular degree for the optimal curve |
Δ |
-8044368024 = -1 · 23 · 3 · 77 · 11 · 37 |
Discriminant |
Eigenvalues |
2+ 3+ -1 7- 11- -5 3 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-368,-5256] |
[a1,a2,a3,a4,a6] |
Generators |
[27:60:1] |
Generators of the group modulo torsion |
j |
-47045881/68376 |
j-invariant |
L |
2.6194933264034 |
L(r)(E,1)/r! |
Ω |
0.51774668644751 |
Real period |
R |
1.2648527677921 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000034091 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
17094p1 |
Quadratic twists by: -7 |