Atkin-Lehner |
2- 5- 17+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
61370v |
Isogeny class |
Conductor |
61370 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
Δ |
-4099419247679873290 = -1 · 2 · 5 · 176 · 198 |
Discriminant |
Eigenvalues |
2- -2 5- -1 3 2 17+ 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,305940,-72411110] |
[a1,a2,a3,a4,a6] |
Generators |
[21758440:528111271:64000] |
Generators of the group modulo torsion |
j |
186467695199/241375690 |
j-invariant |
L |
7.7238578547346 |
L(r)(E,1)/r! |
Ω |
0.13186651644933 |
Real period |
R |
9.7622177113166 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000346 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
61370k2 |
Quadratic twists by: -19 |