Atkin-Lehner |
2- 3+ 17+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
119646bl |
Isogeny class |
Conductor |
119646 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
497664 |
Modular degree for the optimal curve |
Δ |
-743056041260628 = -1 · 22 · 39 · 177 · 23 |
Discriminant |
Eigenvalues |
2- 3+ 0 -4 -1 -1 17+ -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,7315,-1291031] |
[a1,a2,a3,a4,a6] |
Generators |
[247:3818:1] |
Generators of the group modulo torsion |
j |
91125/1564 |
j-invariant |
L |
7.4644228381685 |
L(r)(E,1)/r! |
Ω |
0.24680788759074 |
Real period |
R |
3.7804823069125 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000027092 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
119646a1 7038j1 |
Quadratic twists by: -3 17 |