Atkin-Lehner |
2- 3+ 5+ 17+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
18870p |
Isogeny class |
Conductor |
18870 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
27484947540 = 22 · 310 · 5 · 17 · 372 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 0 2 -4 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-1626,-24621] |
[a1,a2,a3,a4,a6] |
Generators |
[53:177:1] |
Generators of the group modulo torsion |
j |
475446909951649/27484947540 |
j-invariant |
L |
6.0210591371622 |
L(r)(E,1)/r! |
Ω |
0.75454084558136 |
Real period |
R |
3.9898828356489 |
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 |
56610n2 94350r2 |
Quadratic twists by: -3 5 |