Atkin-Lehner |
5- 7- 11+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
128975n |
Isogeny class |
Conductor |
128975 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
224640 |
Modular degree for the optimal curve |
Δ |
-1548344875 = -1 · 53 · 75 · 11 · 67 |
Discriminant |
Eigenvalues |
1 -2 5- 7- 11+ -5 4 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-29046,-1907737] |
[a1,a2,a3,a4,a6] |
Generators |
[247:2326:1] |
Generators of the group modulo torsion |
j |
-21679596984922253/12386759 |
j-invariant |
L |
4.9463714024564 |
L(r)(E,1)/r! |
Ω |
0.18285201560966 |
Real period |
R |
2.7051227120154 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999976178 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
128975k1 |
Quadratic twists by: 5 |