Atkin-Lehner |
2+ 5+ 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
66640c |
Isogeny class |
Conductor |
66640 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
34560 |
Modular degree for the optimal curve |
Δ |
-20480337920 = -1 · 211 · 5 · 76 · 17 |
Discriminant |
Eigenvalues |
2+ -1 5+ 7- -4 1 17+ -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-16,-6880] |
[a1,a2,a3,a4,a6] |
Generators |
[20:20:1] [26:98:1] |
Generators of the group modulo torsion |
j |
-2/85 |
j-invariant |
L |
7.7467262514419 |
L(r)(E,1)/r! |
Ω |
0.55423874668859 |
Real period |
R |
1.7471546102016 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000009 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
33320i1 1360b1 |
Quadratic twists by: -4 -7 |