Atkin-Lehner |
3+ 5- 7- 89+ |
Signs for the Atkin-Lehner involutions |
Class |
46725n |
Isogeny class |
Conductor |
46725 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
5068800 |
Modular degree for the optimal curve |
Δ |
4.4047781844512E+23 |
Discriminant |
Eigenvalues |
1 3+ 5- 7- 0 2 -4 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-30555450,56614953375] |
[a1,a2,a3,a4,a6] |
Generators |
[51172586:-3413614545:6859] |
Generators of the group modulo torsion |
j |
1615324378889855104757/225524643043901229 |
j-invariant |
L |
6.0267838142025 |
L(r)(E,1)/r! |
Ω |
0.09037815544818 |
Real period |
R |
13.336815260999 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999855 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
46725w1 |
Quadratic twists by: 5 |