Atkin-Lehner |
2- 29+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
97498h |
Isogeny class |
Conductor |
97498 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
1451520 |
Modular degree for the optimal curve |
Δ |
2620613509342736 = 24 · 292 · 417 |
Discriminant |
Eigenvalues |
2- -2 2 -2 -2 2 -2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-1205312,509221360] |
[a1,a2,a3,a4,a6] |
Generators |
[-106:25268:1] [630:-170:1] |
Generators of the group modulo torsion |
j |
40767965189713/551696 |
j-invariant |
L |
12.857679615771 |
L(r)(E,1)/r! |
Ω |
0.41548862898527 |
Real period |
R |
3.8682405241932 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999318 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2378d1 |
Quadratic twists by: 41 |