Atkin-Lehner |
2- 7+ 19+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
109858l |
Isogeny class |
Conductor |
109858 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
2499840 |
Modular degree for the optimal curve |
Δ |
-1.2720269523894E+19 |
Discriminant |
Eigenvalues |
2- 2 -1 7+ -3 4 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,6124,-171593003] |
[a1,a2,a3,a4,a6] |
Generators |
[24221:3757521:1] |
Generators of the group modulo torsion |
j |
4405959551/2206540958464 |
j-invariant |
L |
14.408016001413 |
L(r)(E,1)/r! |
Ω |
0.10323555317654 |
Real period |
R |
8.7227798314862 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999883136 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
109858s1 |
Quadratic twists by: -7 |