Atkin-Lehner |
2+ 5- 17- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
24650n |
Isogeny class |
Conductor |
24650 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
4752 |
Modular degree for the optimal curve |
Δ |
-19720000 = -1 · 26 · 54 · 17 · 29 |
Discriminant |
Eigenvalues |
2+ 0 5- -3 -2 -3 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,58,116] |
[a1,a2,a3,a4,a6] |
Generators |
[4:-22:1] |
Generators of the group modulo torsion |
j |
34190775/31552 |
j-invariant |
L |
2.2999717191306 |
L(r)(E,1)/r! |
Ω |
1.4166426545933 |
Real period |
R |
0.27058949454345 |
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 |
24650w1 |
Quadratic twists by: 5 |