Atkin-Lehner |
2+ 3+ 5- 13+ 83- |
Signs for the Atkin-Lehner involutions |
Class |
32370h |
Isogeny class |
Conductor |
32370 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
5.2725910226536E+24 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -2 4 13+ 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-43517572,2034341584] |
[a1,a2,a3,a4,a6] |
Generators |
[-137:89476:1] |
Generators of the group modulo torsion |
j |
9114182012873371428034253641/5272591022653593600000000 |
j-invariant |
L |
3.5466866069514 |
L(r)(E,1)/r! |
Ω |
0.064726091739557 |
Real period |
R |
6.8494144162575 |
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 |
97110bu2 |
Quadratic twists by: -3 |