Atkin-Lehner |
2- 3+ 5- 7+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
102480bj |
Isogeny class |
Conductor |
102480 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
76800 |
Modular degree for the optimal curve |
Δ |
-11333468160 = -1 · 216 · 34 · 5 · 7 · 61 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7+ -4 6 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,520,2160] |
[a1,a2,a3,a4,a6] |
Generators |
[77:702:1] |
Generators of the group modulo torsion |
j |
3789119879/2766960 |
j-invariant |
L |
5.5223752738344 |
L(r)(E,1)/r! |
Ω |
0.81232841100557 |
Real period |
R |
3.3991026142154 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000041528 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12810g1 |
Quadratic twists by: -4 |