Atkin-Lehner |
2- 3+ 7+ 11+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
107184bk |
Isogeny class |
Conductor |
107184 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
2488320 |
Modular degree for the optimal curve |
Δ |
-4.5890835871701E+19 |
Discriminant |
Eigenvalues |
2- 3+ 0 7+ 11+ 2 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-476168,349763568] |
[a1,a2,a3,a4,a6] |
Generators |
[6132:477456:1] |
Generators of the group modulo torsion |
j |
-2915045208415887625/11203817351489532 |
j-invariant |
L |
6.0424386087747 |
L(r)(E,1)/r! |
Ω |
0.17633290450553 |
Real period |
R |
2.8556017530974 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999900003 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
13398u1 |
Quadratic twists by: -4 |