Atkin-Lehner |
2- 3+ 7- 89+ |
Signs for the Atkin-Lehner involutions |
Class |
104664h |
Isogeny class |
Conductor |
104664 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
120960 |
Modular degree for the optimal curve |
Δ |
-8041544448 = -1 · 28 · 3 · 76 · 89 |
Discriminant |
Eigenvalues |
2- 3+ -4 7- 2 -2 -8 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-65,4341] |
[a1,a2,a3,a4,a6] |
Generators |
[19:98:1] |
Generators of the group modulo torsion |
j |
-1024/267 |
j-invariant |
L |
3.5641837263373 |
L(r)(E,1)/r! |
Ω |
1.0688808613717 |
Real period |
R |
0.83362511400913 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000018643 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2136b1 |
Quadratic twists by: -7 |