Atkin-Lehner |
2- 3- 5- 13+ 83- |
Signs for the Atkin-Lehner involutions |
Class |
32370bi |
Isogeny class |
Conductor |
32370 |
Conductor |
∏ cp |
200 |
Product of Tamagawa factors cp |
Δ |
1858926094515360 = 25 · 310 · 5 · 134 · 832 |
Discriminant |
Eigenvalues |
2- 3- 5- -4 2 13+ 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-71865,7113177] |
[a1,a2,a3,a4,a6] |
Generators |
[72:1485:1] |
Generators of the group modulo torsion |
j |
41046523482104447761/1858926094515360 |
j-invariant |
L |
10.041656549309 |
L(r)(E,1)/r! |
Ω |
0.46387717986932 |
Real period |
R |
0.43294462349443 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
97110j2 |
Quadratic twists by: -3 |