Atkin-Lehner |
3+ 5- 7- 47- |
Signs for the Atkin-Lehner involutions |
Class |
24675n |
Isogeny class |
Conductor |
24675 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
8704 |
Modular degree for the optimal curve |
Δ |
863625 = 3 · 53 · 72 · 47 |
Discriminant |
Eigenvalues |
-1 3+ 5- 7- -4 2 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-718,7106] |
[a1,a2,a3,a4,a6] |
Generators |
[-30:67:1] [10:27:1] |
Generators of the group modulo torsion |
j |
327510203957/6909 |
j-invariant |
L |
4.6180095906736 |
L(r)(E,1)/r! |
Ω |
2.5943315282266 |
Real period |
R |
1.7800383414491 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
74025bm1 24675u1 |
Quadratic twists by: -3 5 |