Atkin-Lehner |
2+ 3- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
58800da |
Isogeny class |
Conductor |
58800 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
3870720 |
Modular degree for the optimal curve |
Δ |
-1.90670793075E+19 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 2 1 0 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-97560633,370870269363] |
[a1,a2,a3,a4,a6] |
Generators |
[37278:6966975:1] |
Generators of the group modulo torsion |
j |
-90888126966784/16875 |
j-invariant |
L |
8.3270857965376 |
L(r)(E,1)/r! |
Ω |
0.17131127477743 |
Real period |
R |
8.1013210282291 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000021 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
29400cs1 11760l1 58800f1 |
Quadratic twists by: -4 5 -7 |