Atkin-Lehner |
2+ 3- 17+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
119646ba |
Isogeny class |
Conductor |
119646 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
145152 |
Modular degree for the optimal curve |
Δ |
-46140403086 = -1 · 2 · 38 · 172 · 233 |
Discriminant |
Eigenvalues |
2+ 3- -2 0 -1 4 17+ -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-9693,-365045] |
[a1,a2,a3,a4,a6] |
Generators |
[191:2078:1] |
Generators of the group modulo torsion |
j |
-478077364657/219006 |
j-invariant |
L |
3.3528599799954 |
L(r)(E,1)/r! |
Ω |
0.24056972521135 |
Real period |
R |
2.3228608403816 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000046368 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
39882bm1 119646be1 |
Quadratic twists by: -3 17 |