Atkin-Lehner |
2+ 5- 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
18590h |
Isogeny class |
Conductor |
18590 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
129024 |
Modular degree for the optimal curve |
Δ |
-347436028688320 = -1 · 26 · 5 · 113 · 138 |
Discriminant |
Eigenvalues |
2+ -2 5- 4 11+ 13+ -6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,17572,-17574] |
[a1,a2,a3,a4,a6] |
j |
124326214271/71980480 |
j-invariant |
L |
0.64231399506159 |
L(r)(E,1)/r! |
Ω |
0.32115699753079 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
92950bq1 1430g1 |
Quadratic twists by: 5 13 |