Atkin-Lehner |
2+ 3- 5- 19- 41- |
Signs for the Atkin-Lehner involutions |
Class |
70110ba |
Isogeny class |
Conductor |
70110 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
72576 |
Modular degree for the optimal curve |
Δ |
-41001730200 = -1 · 23 · 36 · 52 · 193 · 41 |
Discriminant |
Eigenvalues |
2+ 3- 5- -4 -3 -4 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,171,-9747] |
[a1,a2,a3,a4,a6] |
Generators |
[57:399:1] |
Generators of the group modulo torsion |
j |
756058031/56243800 |
j-invariant |
L |
2.6050494689036 |
L(r)(E,1)/r! |
Ω |
0.54575388994593 |
Real period |
R |
0.39777537039366 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001149 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7790d1 |
Quadratic twists by: -3 |