Atkin-Lehner |
2- 3+ 37- 53- |
Signs for the Atkin-Lehner involutions |
Class |
94128h |
Isogeny class |
Conductor |
94128 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
456192 |
Modular degree for the optimal curve |
Δ |
-4868649611329536 = -1 · 215 · 36 · 372 · 533 |
Discriminant |
Eigenvalues |
2- 3+ -3 -2 3 -4 3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-14432,3427584] |
[a1,a2,a3,a4,a6] |
Generators |
[-46:1998:1] [250:3922:1] |
Generators of the group modulo torsion |
j |
-81165864159073/1188635159016 |
j-invariant |
L |
7.5978802772218 |
L(r)(E,1)/r! |
Ω |
0.36619638974204 |
Real period |
R |
0.86450427621136 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000603 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11766f1 |
Quadratic twists by: -4 |