Atkin-Lehner |
2- 5+ 17- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
60350i |
Isogeny class |
Conductor |
60350 |
Conductor |
∏ cp |
104 |
Product of Tamagawa factors cp |
deg |
266240 |
Modular degree for the optimal curve |
Δ |
759038848000000 = 213 · 56 · 174 · 71 |
Discriminant |
Eigenvalues |
2- 1 5+ -3 2 -1 17- -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-26788,1042192] |
[a1,a2,a3,a4,a6] |
Generators |
[12:844:1] |
Generators of the group modulo torsion |
j |
136058465999737/48578486272 |
j-invariant |
L |
9.6441037632981 |
L(r)(E,1)/r! |
Ω |
0.46324371152074 |
Real period |
R |
0.20017922455743 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000158 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2414a1 |
Quadratic twists by: 5 |