Atkin-Lehner |
2- 7- 17- 23- |
Signs for the Atkin-Lehner involutions |
Class |
76636f |
Isogeny class |
Conductor |
76636 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
470016 |
Modular degree for the optimal curve |
Δ |
-15892116263591792 = -1 · 24 · 710 · 172 · 233 |
Discriminant |
Eigenvalues |
2- 1 2 7- -4 1 17- 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-34022,-6539863] |
[a1,a2,a3,a4,a6] |
Generators |
[254:1127:1] |
Generators of the group modulo torsion |
j |
-2313703881472/8442547463 |
j-invariant |
L |
8.5455551520075 |
L(r)(E,1)/r! |
Ω |
0.16106702052136 |
Real period |
R |
1.4737748997871 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999988346 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10948b1 |
Quadratic twists by: -7 |