Atkin-Lehner |
2+ 5- 79- |
Signs for the Atkin-Lehner involutions |
Class |
25280l |
Isogeny class |
Conductor |
25280 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
47232 |
Modular degree for the optimal curve |
Δ |
-157772480 = -1 · 26 · 5 · 793 |
Discriminant |
Eigenvalues |
2+ 1 5- -1 5 0 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-143055,-20873605] |
[a1,a2,a3,a4,a6] |
Generators |
[4039672753574:17048699081473:9090072503] |
Generators of the group modulo torsion |
j |
-5058897720777362944/2465195 |
j-invariant |
L |
6.9487754726008 |
L(r)(E,1)/r! |
Ω |
0.12274209893064 |
Real period |
R |
18.870937608586 |
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 |
25280j1 12640d1 126400v1 |
Quadratic twists by: -4 8 5 |