Atkin-Lehner |
2+ 5+ 7+ 13- 17- |
Signs for the Atkin-Lehner involutions |
Class |
123760b |
Isogeny class |
Conductor |
123760 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
43008 |
Modular degree for the optimal curve |
Δ |
-271900720 = -1 · 24 · 5 · 7 · 134 · 17 |
Discriminant |
Eigenvalues |
2+ 0 5+ 7+ -4 13- 17- 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,142,-453] |
[a1,a2,a3,a4,a6] |
Generators |
[147:1788:1] |
Generators of the group modulo torsion |
j |
19791046656/16993795 |
j-invariant |
L |
4.8260712069587 |
L(r)(E,1)/r! |
Ω |
0.95962053936847 |
Real period |
R |
5.0291455252439 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999997212258 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
61880l1 |
Quadratic twists by: -4 |