Atkin-Lehner |
2- 23- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
77372b |
Isogeny class |
Conductor |
77372 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
191520 |
Modular degree for the optimal curve |
Δ |
146002953079376 = 24 · 232 · 297 |
Discriminant |
Eigenvalues |
2- 2 2 0 0 -2 4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-14577,-342910] |
[a1,a2,a3,a4,a6] |
Generators |
[-19915:189225:343] |
Generators of the group modulo torsion |
j |
35995648/15341 |
j-invariant |
L |
10.944356002228 |
L(r)(E,1)/r! |
Ω |
0.45147389374285 |
Real period |
R |
4.0402321352644 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998462 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2668a1 |
Quadratic twists by: 29 |