Atkin-Lehner |
2+ 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
129472o |
Isogeny class |
Conductor |
129472 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1935360 |
Modular degree for the optimal curve |
Δ |
3899456339968 = 214 · 77 · 172 |
Discriminant |
Eigenvalues |
2+ 3 2 7+ 0 -4 17+ -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1135804,-465911248] |
[a1,a2,a3,a4,a6] |
Generators |
[-179982806704930614298344166564688967:571158143134942565694856105981171:292536305177831842416929949581973] |
Generators of the group modulo torsion |
j |
34222845097047888/823543 |
j-invariant |
L |
15.394034434506 |
L(r)(E,1)/r! |
Ω |
0.14624253508081 |
Real period |
R |
52.631863999074 |
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 |
129472dn1 8092d1 129472bt1 |
Quadratic twists by: -4 8 17 |