Atkin-Lehner |
2- 3+ 19- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
97128g |
Isogeny class |
Conductor |
97128 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
6101760 |
Modular degree for the optimal curve |
Δ |
1.3708995484501E+20 |
Discriminant |
Eigenvalues |
2- 3+ 0 -4 0 -4 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-22285530,40489324821] |
[a1,a2,a3,a4,a6] |
Generators |
[2757:2052:1] |
Generators of the group modulo torsion |
j |
3886702844015132928000/435305704303871 |
j-invariant |
L |
3.8040728324271 |
L(r)(E,1)/r! |
Ω |
0.17699633331944 |
Real period |
R |
2.1492382110163 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000012165 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
97128b1 |
Quadratic twists by: -3 |