Atkin-Lehner |
2+ 3+ 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
92736r |
Isogeny class |
Conductor |
92736 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
20992 |
Modular degree for the optimal curve |
Δ |
-278208 = -1 · 26 · 33 · 7 · 23 |
Discriminant |
Eigenvalues |
2+ 3+ 0 7- -3 6 2 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-570,-5238] |
[a1,a2,a3,a4,a6] |
Generators |
[13668:198435:64] |
Generators of the group modulo torsion |
j |
-11852352000/161 |
j-invariant |
L |
7.4744319957431 |
L(r)(E,1)/r! |
Ω |
0.48854040841444 |
Real period |
R |
7.6497582035182 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002283 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
92736a1 46368f1 92736k1 |
Quadratic twists by: -4 8 -3 |