Atkin-Lehner |
2+ 5- 43- |
Signs for the Atkin-Lehner involutions |
Class |
18490f |
Isogeny class |
Conductor |
18490 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
133056 |
Modular degree for the optimal curve |
Δ |
-695855644433920 = -1 · 29 · 5 · 437 |
Discriminant |
Eigenvalues |
2+ 2 5- 1 -6 5 -6 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,7358,-1242636] |
[a1,a2,a3,a4,a6] |
Generators |
[318538770:3305586507:2406104] |
Generators of the group modulo torsion |
j |
6967871/110080 |
j-invariant |
L |
5.6666720478247 |
L(r)(E,1)/r! |
Ω |
0.2485855016677 |
Real period |
R |
11.397832958496 |
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 |
92450bc1 430c1 |
Quadratic twists by: 5 -43 |