Atkin-Lehner |
2+ 3- 13- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
102336bh |
Isogeny class |
Conductor |
102336 |
Conductor |
∏ cp |
140 |
Product of Tamagawa factors cp |
deg |
4945920 |
Modular degree for the optimal curve |
Δ |
6.8871769375254E+19 |
Discriminant |
Eigenvalues |
2+ 3- 3 -4 5 13- -3 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2120929,-1120531201] |
[a1,a2,a3,a4,a6] |
Generators |
[-805:8112:1] |
Generators of the group modulo torsion |
j |
16099870298990155492/1050899801258151 |
j-invariant |
L |
9.3754972503946 |
L(r)(E,1)/r! |
Ω |
0.12561568788431 |
Real period |
R |
0.5331168311506 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000005246 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
102336bw1 12792a1 |
Quadratic twists by: -4 8 |