Atkin-Lehner |
2- 7- 11- 101- |
Signs for the Atkin-Lehner involutions |
Class |
31108g |
Isogeny class |
Conductor |
31108 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
159744 |
Modular degree for the optimal curve |
Δ |
271580698129664 = 28 · 72 · 118 · 101 |
Discriminant |
Eigenvalues |
2- -2 1 7- 11- 3 1 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-119245,15789711] |
[a1,a2,a3,a4,a6] |
Generators |
[749:18634:1] |
Generators of the group modulo torsion |
j |
732500495153668096/1060862102069 |
j-invariant |
L |
4.3217229054739 |
L(r)(E,1)/r! |
Ω |
0.54976554508081 |
Real period |
R |
0.16377143796962 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
124432f1 |
Quadratic twists by: -4 |