Atkin-Lehner |
2- 3- 5- 13+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
91650dq |
Isogeny class |
Conductor |
91650 |
Conductor |
∏ cp |
42 |
Product of Tamagawa factors cp |
deg |
36288 |
Modular degree for the optimal curve |
Δ |
-439920000 = -1 · 27 · 32 · 54 · 13 · 47 |
Discriminant |
Eigenvalues |
2- 3- 5- -2 -2 13+ 3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,12,-1008] |
[a1,a2,a3,a4,a6] |
Generators |
[12:24:1] |
Generators of the group modulo torsion |
j |
304175/703872 |
j-invariant |
L |
11.373121399607 |
L(r)(E,1)/r! |
Ω |
0.77620650541125 |
Real period |
R |
0.34886154984217 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000010237 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
91650m1 |
Quadratic twists by: 5 |