Atkin-Lehner |
2+ 3- 13+ 17- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
115362d |
Isogeny class |
Conductor |
115362 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
2703360 |
Modular degree for the optimal curve |
Δ |
-1.8154581043656E+19 |
Discriminant |
Eigenvalues |
2+ 3- 1 -2 3 13+ 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-88749,205273381] |
[a1,a2,a3,a4,a6] |
Generators |
[109330:3472399:125] |
Generators of the group modulo torsion |
j |
-106044791152590289/24903403352066304 |
j-invariant |
L |
5.6335790174165 |
L(r)(E,1)/r! |
Ω |
0.17776119176247 |
Real period |
R |
7.9229597208772 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999438006 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
38454g1 |
Quadratic twists by: -3 |