Atkin-Lehner |
2+ 19- 103- |
Signs for the Atkin-Lehner involutions |
Class |
74366c |
Isogeny class |
Conductor |
74366 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
3296880 |
Modular degree for the optimal curve |
Δ |
-2081423421728345888 = -1 · 25 · 1910 · 1032 |
Discriminant |
Eigenvalues |
2+ 3 -2 -4 -1 4 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1718608,-869532256] |
[a1,a2,a3,a4,a6] |
Generators |
[1249963439974690905620418744594:167900481484446780869281537252249:68397486956108750028772728] |
Generators of the group modulo torsion |
j |
-91562645457/339488 |
j-invariant |
L |
6.5271045611211 |
L(r)(E,1)/r! |
Ω |
0.065914194852402 |
Real period |
R |
49.512131459216 |
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 |
74366e1 |
Quadratic twists by: -19 |