Atkin-Lehner |
2- 3+ 5+ 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
47880s |
Isogeny class |
Conductor |
47880 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
57600 |
Modular degree for the optimal curve |
Δ |
-1795500000000 = -1 · 28 · 33 · 59 · 7 · 19 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- -2 -6 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,492,-64332] |
[a1,a2,a3,a4,a6] |
Generators |
[36:6:1] |
Generators of the group modulo torsion |
j |
1905527808/259765625 |
j-invariant |
L |
4.6677420040167 |
L(r)(E,1)/r! |
Ω |
0.39559031559987 |
Real period |
R |
2.9498586163125 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000018 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
95760b1 47880g1 |
Quadratic twists by: -4 -3 |