Atkin-Lehner |
2- 5+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
76880q |
Isogeny class |
Conductor |
76880 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
84000 |
Modular degree for the optimal curve |
Δ |
307520000000 = 212 · 57 · 312 |
Discriminant |
Eigenvalues |
2- 2 5+ 2 1 0 2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-3141,63341] |
[a1,a2,a3,a4,a6] |
Generators |
[680868:6663511:46656] |
Generators of the group modulo torsion |
j |
870928384/78125 |
j-invariant |
L |
10.366791303819 |
L(r)(E,1)/r! |
Ω |
0.94400889043802 |
Real period |
R |
10.981667023018 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000218 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4805d1 76880m1 |
Quadratic twists by: -4 -31 |