Atkin-Lehner |
2- 3- 7+ 11- 67- |
Signs for the Atkin-Lehner involutions |
Class |
30954bb |
Isogeny class |
Conductor |
30954 |
Conductor |
∏ cp |
805 |
Product of Tamagawa factors cp |
deg |
540960 |
Modular degree for the optimal curve |
Δ |
1385718298259226624 = 223 · 37 · 7 · 115 · 67 |
Discriminant |
Eigenvalues |
2- 3- -3 7+ 11- 1 -4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-293997,23575761] |
[a1,a2,a3,a4,a6] |
Generators |
[66:2079:1] |
Generators of the group modulo torsion |
j |
2810298819068349939793/1385718298259226624 |
j-invariant |
L |
8.0212464419017 |
L(r)(E,1)/r! |
Ω |
0.23980775896108 |
Real period |
R |
0.041551121354273 |
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 |
92862m1 |
Quadratic twists by: -3 |