Atkin-Lehner |
2- 3+ 7+ 17+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
108528o |
Isogeny class |
Conductor |
108528 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
624871231488 = 212 · 34 · 73 · 172 · 19 |
Discriminant |
Eigenvalues |
2- 3+ 2 7+ 4 2 17+ 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-160717912,-784178387408] |
[a1,a2,a3,a4,a6] |
Generators |
[-213740907711904193802491475997590:648926193581725946578084486:29203568489702616460979554125] |
Generators of the group modulo torsion |
j |
112087352564301818387886553/152556453 |
j-invariant |
L |
7.4799220725092 |
L(r)(E,1)/r! |
Ω |
0.042401720998177 |
Real period |
R |
44.101524047726 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999992578 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6783e3 |
Quadratic twists by: -4 |