Atkin-Lehner |
5+ 17- 19- |
Signs for the Atkin-Lehner involutions |
Class |
30685a |
Isogeny class |
Conductor |
30685 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
28800 |
Modular degree for the optimal curve |
Δ |
19994499425 = 52 · 17 · 196 |
Discriminant |
Eigenvalues |
-1 -2 5+ -2 2 -2 17- 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-3076,65055] |
[a1,a2,a3,a4,a6] |
Generators |
[49:-205:1] |
Generators of the group modulo torsion |
j |
68417929/425 |
j-invariant |
L |
1.8219561236531 |
L(r)(E,1)/r! |
Ω |
1.2232120798333 |
Real period |
R |
0.74474253226043 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999997 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
85a1 |
Quadratic twists by: -19 |