Atkin-Lehner |
2+ 3+ 5+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
106200b |
Isogeny class |
Conductor |
106200 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
76800 |
Modular degree for the optimal curve |
Δ |
6372000000 = 28 · 33 · 56 · 59 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -4 -4 -2 -4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1575,-23750] |
[a1,a2,a3,a4,a6] |
Generators |
[-21:8:1] |
Generators of the group modulo torsion |
j |
4000752/59 |
j-invariant |
L |
3.2307455706233 |
L(r)(E,1)/r! |
Ω |
0.75852051623275 |
Real period |
R |
2.1296362352962 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000054023 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
106200z1 4248e1 |
Quadratic twists by: -3 5 |