Atkin-Lehner |
2- 3+ 5+ 17- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
118320bi |
Isogeny class |
Conductor |
118320 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
41287680 |
Modular degree for the optimal curve |
Δ |
7.5574575768294E+25 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -2 2 -6 17- -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-189943656,-916617254544] |
[a1,a2,a3,a4,a6] |
Generators |
[27377968332:-15506595765819:85184] |
Generators of the group modulo torsion |
j |
185028294336699557649743209/18450824162181120000000 |
j-invariant |
L |
2.727306101091 |
L(r)(E,1)/r! |
Ω |
0.040928269539041 |
Real period |
R |
16.65906057864 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000053429 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14790j1 |
Quadratic twists by: -4 |