Atkin-Lehner |
2+ 5- 7- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
18130j |
Isogeny class |
Conductor |
18130 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
38016 |
Modular degree for the optimal curve |
Δ |
-312023971840 = -1 · 211 · 5 · 77 · 37 |
Discriminant |
Eigenvalues |
2+ -2 5- 7- 2 -7 4 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-173,-26904] |
[a1,a2,a3,a4,a6] |
Generators |
[32:8:1] |
Generators of the group modulo torsion |
j |
-4826809/2652160 |
j-invariant |
L |
2.7027358390549 |
L(r)(E,1)/r! |
Ω |
0.43500152536406 |
Real period |
R |
1.5532910124815 |
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 |
90650cp1 2590b1 |
Quadratic twists by: 5 -7 |