Atkin-Lehner |
2+ 5- 7- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
18130k |
Isogeny class |
Conductor |
18130 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
43008 |
Modular degree for the optimal curve |
Δ |
-2818575917500 = -1 · 22 · 54 · 77 · 372 |
Discriminant |
Eigenvalues |
2+ -2 5- 7- -4 -6 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,3257,-37194] |
[a1,a2,a3,a4,a6] |
Generators |
[25:232:1] |
Generators of the group modulo torsion |
j |
32492296871/23957500 |
j-invariant |
L |
1.8550906757188 |
L(r)(E,1)/r! |
Ω |
0.45155628776305 |
Real period |
R |
0.2567634874642 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
90650cs1 2590a1 |
Quadratic twists by: 5 -7 |