Atkin-Lehner |
2+ 7- 17- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
121618h |
Isogeny class |
Conductor |
121618 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
2949120 |
Modular degree for the optimal curve |
Δ |
7681675754454646784 = 230 · 78 · 17 · 73 |
Discriminant |
Eigenvalues |
2+ -2 -2 7- 4 4 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-597287,117364650] |
[a1,a2,a3,a4,a6] |
Generators |
[22480:485141:125] |
Generators of the group modulo torsion |
j |
200301228988707673/65293166575616 |
j-invariant |
L |
3.3839125085639 |
L(r)(E,1)/r! |
Ω |
0.21621082585767 |
Real period |
R |
7.8254927321067 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000046869 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
17374b1 |
Quadratic twists by: -7 |