Atkin-Lehner |
2+ 3+ 5- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
73920bu |
Isogeny class |
Conductor |
73920 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
165888 |
Modular degree for the optimal curve |
Δ |
-2304668298240 = -1 · 210 · 312 · 5 · 7 · 112 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- 11- -2 -6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-10645,432565] |
[a1,a2,a3,a4,a6] |
Generators |
[57:88:1] [77:252:1] |
Generators of the group modulo torsion |
j |
-130287139815424/2250652635 |
j-invariant |
L |
10.03285686813 |
L(r)(E,1)/r! |
Ω |
0.82044019598014 |
Real period |
R |
6.1143133389513 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999441 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
73920hh1 4620j1 |
Quadratic twists by: -4 8 |