Atkin-Lehner |
7- 31- 61- |
Signs for the Atkin-Lehner involutions |
Class |
92659j |
Isogeny class |
Conductor |
92659 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1478400 |
Modular degree for the optimal curve |
Δ |
-6627730649869 = -1 · 76 · 314 · 61 |
Discriminant |
Eigenvalues |
-1 -2 3 7- 3 -5 4 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-2539769,1557687886] |
[a1,a2,a3,a4,a6] |
Generators |
[565:17129:1] [915:-194:1] |
Generators of the group modulo torsion |
j |
-15399908364408365953/56334781 |
j-invariant |
L |
6.3580058436605 |
L(r)(E,1)/r! |
Ω |
0.50123238765807 |
Real period |
R |
3.1711866593758 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999995394 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1891b1 |
Quadratic twists by: -7 |