Atkin-Lehner |
2- 3- 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
32340bh |
Isogeny class |
Conductor |
32340 |
Conductor |
∏ cp |
42 |
Product of Tamagawa factors cp |
deg |
1451520 |
Modular degree for the optimal curve |
Δ |
-1.8873063361819E+21 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 11- -4 5 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,301579,2089287255] |
[a1,a2,a3,a4,a6] |
Generators |
[-831:35574:1] |
Generators of the group modulo torsion |
j |
100715742101504/62663434246875 |
j-invariant |
L |
6.5336112652291 |
L(r)(E,1)/r! |
Ω |
0.11541830524965 |
Real period |
R |
1.3478119666128 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
129360ea1 97020cp1 4620g1 |
Quadratic twists by: -4 -3 -7 |