Atkin-Lehner |
3+ 5+ 11- 47- |
Signs for the Atkin-Lehner involutions |
Class |
85305c |
Isogeny class |
Conductor |
85305 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
106541722829025 = 32 · 52 · 118 · 472 |
Discriminant |
Eigenvalues |
1 3+ 5+ 0 11- -2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-12223,-159848] |
[a1,a2,a3,a4,a6] |
Generators |
[868:24946:1] |
Generators of the group modulo torsion |
j |
114013572049/60140025 |
j-invariant |
L |
4.1942172561322 |
L(r)(E,1)/r! |
Ω |
0.48172634308682 |
Real period |
R |
4.3533193896472 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999914281 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
7755c2 |
Quadratic twists by: -11 |