Atkin-Lehner |
2+ 23- 89- |
Signs for the Atkin-Lehner involutions |
Class |
94162h |
Isogeny class |
Conductor |
94162 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
456192 |
Modular degree for the optimal curve |
Δ |
-155151085968896 = -1 · 29 · 237 · 89 |
Discriminant |
Eigenvalues |
2+ 1 -2 -5 -1 2 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-39422,-3074960] |
[a1,a2,a3,a4,a6] |
Generators |
[688:16848:1] |
Generators of the group modulo torsion |
j |
-45767461033/1048064 |
j-invariant |
L |
1.8739437823548 |
L(r)(E,1)/r! |
Ω |
0.16917958949811 |
Real period |
R |
2.7691635165184 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999703511 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4094b1 |
Quadratic twists by: -23 |