Atkin-Lehner |
2+ 3+ 5+ 7+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
74550i |
Isogeny class |
Conductor |
74550 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
30412800 |
Modular degree for the optimal curve |
Δ |
-1.8130749520078E+26 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7+ -3 -2 6 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-25940000,-649840896000] |
[a1,a2,a3,a4,a6] |
Generators |
[33458144:193515265280:1] |
Generators of the group modulo torsion |
j |
-123541715459841050534401/11603679692850000000000 |
j-invariant |
L |
2.9198485126377 |
L(r)(E,1)/r! |
Ω |
0.025180674194937 |
Real period |
R |
14.494491341026 |
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 |
14910bl1 |
Quadratic twists by: 5 |