Atkin-Lehner |
3+ 7+ 17- 67- |
Signs for the Atkin-Lehner involutions |
Class |
23919a |
Isogeny class |
Conductor |
23919 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
22528 |
Modular degree for the optimal curve |
Δ |
-21581850591 = -1 · 32 · 7 · 17 · 674 |
Discriminant |
Eigenvalues |
-1 3+ -2 7+ -4 2 17- 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-1474,22286] |
[a1,a2,a3,a4,a6] |
Generators |
[19:30:1] |
Generators of the group modulo torsion |
j |
-354188598847777/21581850591 |
j-invariant |
L |
1.8942548599121 |
L(r)(E,1)/r! |
Ω |
1.1913571208093 |
Real period |
R |
3.1799950272263 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
71757g1 |
Quadratic twists by: -3 |