Atkin-Lehner |
3+ 5+ 7- 47- |
Signs for the Atkin-Lehner involutions |
Class |
24675m |
Isogeny class |
Conductor |
24675 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
4176 |
Modular degree for the optimal curve |
Δ |
-222075 = -1 · 33 · 52 · 7 · 47 |
Discriminant |
Eigenvalues |
-2 3+ 5+ 7- 5 5 -2 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-8,-22] |
[a1,a2,a3,a4,a6] |
Generators |
[6:10:1] |
Generators of the group modulo torsion |
j |
-2560000/8883 |
j-invariant |
L |
2.6487053389687 |
L(r)(E,1)/r! |
Ω |
1.2904189467617 |
Real period |
R |
2.0525933423525 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
74025o1 24675w1 |
Quadratic twists by: -3 5 |