Atkin-Lehner |
2+ 3- 5- 103+ |
Signs for the Atkin-Lehner involutions |
Class |
24720d |
Isogeny class |
Conductor |
24720 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
4992 |
Modular degree for the optimal curve |
Δ |
-14238720 = -1 · 210 · 33 · 5 · 103 |
Discriminant |
Eigenvalues |
2+ 3- 5- -3 0 -4 -5 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-40,-220] |
[a1,a2,a3,a4,a6] |
Generators |
[8:6:1] |
Generators of the group modulo torsion |
j |
-7086244/13905 |
j-invariant |
L |
5.9856614644695 |
L(r)(E,1)/r! |
Ω |
0.89067117871386 |
Real period |
R |
1.1200657076597 |
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 |
12360b1 98880be1 74160j1 123600f1 |
Quadratic twists by: -4 8 -3 5 |