Atkin-Lehner |
2- 3- 5+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
61200fa |
Isogeny class |
Conductor |
61200 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
691200 |
Modular degree for the optimal curve |
Δ |
824191903265587200 = 217 · 311 · 52 · 175 |
Discriminant |
Eigenvalues |
2- 3- 5+ -3 -3 4 17+ 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-234435,980930] |
[a1,a2,a3,a4,a6] |
Generators |
[1:864:1] |
Generators of the group modulo torsion |
j |
19088138515945/11040808032 |
j-invariant |
L |
5.41955040382 |
L(r)(E,1)/r! |
Ω |
0.23903765252405 |
Real period |
R |
2.8340464079744 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999995729 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7650r1 20400ci1 61200hi2 |
Quadratic twists by: -4 -3 5 |