Atkin-Lehner |
3- 5+ 7+ 17- 23- |
Signs for the Atkin-Lehner involutions |
Class |
123165c |
Isogeny class |
Conductor |
123165 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
933888 |
Modular degree for the optimal curve |
Δ |
1166775443037225 = 38 · 52 · 7 · 174 · 233 |
Discriminant |
Eigenvalues |
-1 3- 5+ 7+ -6 0 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-139388,-19927794] |
[a1,a2,a3,a4,a6] |
Generators |
[-222:306:1] [-210:327:1] |
Generators of the group modulo torsion |
j |
410836880436910201/1600515011025 |
j-invariant |
L |
6.1972414638382 |
L(r)(E,1)/r! |
Ω |
0.24714123733304 |
Real period |
R |
2.0896423192022 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000005849 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
41055e1 |
Quadratic twists by: -3 |