Atkin-Lehner |
2+ 3- 13+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
93288t |
Isogeny class |
Conductor |
93288 |
Conductor |
∏ cp |
168 |
Product of Tamagawa factors cp |
deg |
158592 |
Modular degree for the optimal curve |
Δ |
-8458976717568 = -1 · 28 · 37 · 134 · 232 |
Discriminant |
Eigenvalues |
2+ 3- -2 3 -4 13+ 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,3831,-104805] |
[a1,a2,a3,a4,a6] |
Generators |
[303:5382:1] |
Generators of the group modulo torsion |
j |
850224128/1156923 |
j-invariant |
L |
7.0747563378818 |
L(r)(E,1)/r! |
Ω |
0.3913484830521 |
Real period |
R |
0.10760651110288 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999956548 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
93288bo1 |
Quadratic twists by: 13 |