Atkin-Lehner |
2+ 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
107632c |
Isogeny class |
Conductor |
107632 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
deg |
11980800 |
Modular degree for the optimal curve |
Δ |
-1.9119459464452E+24 |
Discriminant |
Eigenvalues |
2+ 0 2 7- 2 4 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-11992319,-68420095970] |
[a1,a2,a3,a4,a6] |
Generators |
[67195001390:14455586729850:1442897] |
Generators of the group modulo torsion |
j |
-839504640199248/8415220142959 |
j-invariant |
L |
8.8244382928125 |
L(r)(E,1)/r! |
Ω |
0.035295233689151 |
Real period |
R |
12.500892269319 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000015233 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
53816b1 3472b1 |
Quadratic twists by: -4 -31 |