Atkin-Lehner |
2- 3+ 17+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
123114s |
Isogeny class |
Conductor |
123114 |
Conductor |
∏ cp |
78 |
Product of Tamagawa factors cp |
deg |
1617408 |
Modular degree for the optimal curve |
Δ |
-5559463334043648 = -1 · 213 · 38 · 172 · 713 |
Discriminant |
Eigenvalues |
2- 3+ -4 0 -5 1 17+ -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-117170,15799871] |
[a1,a2,a3,a4,a6] |
Generators |
[849:22579:1] |
Generators of the group modulo torsion |
j |
-615567086678032129/19236897349632 |
j-invariant |
L |
3.9245170336603 |
L(r)(E,1)/r! |
Ω |
0.42618135701112 |
Real period |
R |
0.11805847344229 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000104556 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
123114x1 |
Quadratic twists by: 17 |