Atkin-Lehner |
2+ 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
3718a |
Isogeny class |
Conductor |
3718 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
20160 |
Modular degree for the optimal curve |
Δ |
-6939245045711264 = -1 · 25 · 112 · 1311 |
Discriminant |
Eigenvalues |
2+ -1 -1 -3 11+ 13+ 3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,47317,627229] |
[a1,a2,a3,a4,a6] |
Generators |
[5:927:1] |
Generators of the group modulo torsion |
j |
2427173723519/1437646496 |
j-invariant |
L |
1.6986380955769 |
L(r)(E,1)/r! |
Ω |
0.25606061292264 |
Real period |
R |
1.6584335991671 |
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 |
29744ba1 118976bc1 33462cv1 92950bm1 |
Quadratic twists by: -4 8 -3 5 |