Atkin-Lehner |
3+ 5+ 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
30855d |
Isogeny class |
Conductor |
30855 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-516722130723046875 = -1 · 3 · 58 · 1110 · 17 |
Discriminant |
Eigenvalues |
-1 3+ 5+ -4 11- 2 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-157726,-42225226] |
[a1,a2,a3,a4,a6] |
Generators |
[121434:1422925:216] |
Generators of the group modulo torsion |
j |
-244950111766009/291676171875 |
j-invariant |
L |
1.6220794337245 |
L(r)(E,1)/r! |
Ω |
0.11455322223477 |
Real period |
R |
7.0800253457745 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999997 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
92565br3 2805b4 |
Quadratic twists by: -3 -11 |