Atkin-Lehner |
2- 3- 7- 59- |
Signs for the Atkin-Lehner involutions |
Class |
69384be |
Isogeny class |
Conductor |
69384 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
107520 |
Modular degree for the optimal curve |
Δ |
-2399909715504 = -1 · 24 · 32 · 710 · 59 |
Discriminant |
Eigenvalues |
2- 3- 3 7- -2 2 -3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,1601,70874] |
[a1,a2,a3,a4,a6] |
Generators |
[55:573:1] |
Generators of the group modulo torsion |
j |
100352/531 |
j-invariant |
L |
9.9183754325334 |
L(r)(E,1)/r! |
Ω |
0.5882340170439 |
Real period |
R |
4.2153187101264 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000627 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
69384t1 |
Quadratic twists by: -7 |