Atkin-Lehner |
2+ 3- 41+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
31734d |
Isogeny class |
Conductor |
31734 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
74240 |
Modular degree for the optimal curve |
Δ |
-9809716136544 = -1 · 25 · 37 · 41 · 434 |
Discriminant |
Eigenvalues |
2+ 3- 3 2 -2 3 3 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-6453,-248427] |
[a1,a2,a3,a4,a6] |
Generators |
[1158:10257:8] |
Generators of the group modulo torsion |
j |
-40767965189713/13456400736 |
j-invariant |
L |
5.7220970849938 |
L(r)(E,1)/r! |
Ω |
0.26194355446108 |
Real period |
R |
2.7305964336317 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10578j1 |
Quadratic twists by: -3 |