Atkin-Lehner |
2- 3+ 13+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
102336bl |
Isogeny class |
Conductor |
102336 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
16896 |
Modular degree for the optimal curve |
Δ |
26198016 = 214 · 3 · 13 · 41 |
Discriminant |
Eigenvalues |
2- 3+ -1 -2 1 13+ -1 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-81,-111] |
[a1,a2,a3,a4,a6] |
Generators |
[-7:8:1] [-5:12:1] |
Generators of the group modulo torsion |
j |
3631696/1599 |
j-invariant |
L |
8.6924223009645 |
L(r)(E,1)/r! |
Ω |
1.6555480393789 |
Real period |
R |
1.3126200650935 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000121 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
102336u1 25584w1 |
Quadratic twists by: -4 8 |