Atkin-Lehner |
3+ 13+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
18759d |
Isogeny class |
Conductor |
18759 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-3350206071147 = -1 · 3 · 138 · 372 |
Discriminant |
Eigenvalues |
1 3+ 2 4 2 13+ -8 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,1011,87612] |
[a1,a2,a3,a4,a6] |
Generators |
[-98:2219:8] |
Generators of the group modulo torsion |
j |
23639903/694083 |
j-invariant |
L |
6.7315650815604 |
L(r)(E,1)/r! |
Ω |
0.59770100118782 |
Real period |
R |
5.6312144936871 |
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 |
56277g2 1443c2 |
Quadratic twists by: -3 13 |