Atkin-Lehner |
2+ 5- 7+ 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
123760j |
Isogeny class |
Conductor |
123760 |
Conductor |
∏ cp |
5 |
Product of Tamagawa factors cp |
deg |
153600 |
Modular degree for the optimal curve |
Δ |
-1021531005040 = -1 · 24 · 5 · 7 · 135 · 173 |
Discriminant |
Eigenvalues |
2+ 2 5- 7+ -1 13- 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2360,-64885] |
[a1,a2,a3,a4,a6] |
Generators |
[1749:6029:27] |
Generators of the group modulo torsion |
j |
-90891599984896/63845687815 |
j-invariant |
L |
11.217019913264 |
L(r)(E,1)/r! |
Ω |
0.33217025588853 |
Real period |
R |
6.7537774494542 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999957807 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
61880p1 |
Quadratic twists by: -4 |