Atkin-Lehner |
2+ 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
61600t |
Isogeny class |
Conductor |
61600 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
238080 |
Modular degree for the optimal curve |
Δ |
3080000000000 = 212 · 510 · 7 · 11 |
Discriminant |
Eigenvalues |
2+ -2 5+ 7- 11- -5 -1 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-108333,13687963] |
[a1,a2,a3,a4,a6] |
Generators |
[189:4:1] |
Generators of the group modulo torsion |
j |
3515200000/77 |
j-invariant |
L |
3.3772122921783 |
L(r)(E,1)/r! |
Ω |
0.73865753356423 |
Real period |
R |
2.2860474162992 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999997317 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
61600e1 123200fu1 61600bv1 |
Quadratic twists by: -4 8 5 |