Atkin-Lehner |
2- 3- 7- 53- |
Signs for the Atkin-Lehner involutions |
Class |
46746bz |
Isogeny class |
Conductor |
46746 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
92160 |
Modular degree for the optimal curve |
Δ |
-72729670608 = -1 · 24 · 36 · 76 · 53 |
Discriminant |
Eigenvalues |
2- 3- -4 7- 4 -1 5 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-3317,75485] |
[a1,a2,a3,a4,a6] |
Generators |
[37:30:1] |
Generators of the group modulo torsion |
j |
-47045881/848 |
j-invariant |
L |
7.6789490933725 |
L(r)(E,1)/r! |
Ω |
1.0939005415344 |
Real period |
R |
0.87747340843949 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999742 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5194f1 954m1 |
Quadratic twists by: -3 -7 |