Atkin-Lehner |
2+ 3+ 13- 89- |
Signs for the Atkin-Lehner involutions |
Class |
20826h |
Isogeny class |
Conductor |
20826 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
270577320245856 = 25 · 39 · 136 · 89 |
Discriminant |
Eigenvalues |
2+ 3+ 2 0 0 13- -4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-408876,-100526608] |
[a1,a2,a3,a4,a6] |
Generators |
[326274:11115923:216] |
Generators of the group modulo torsion |
j |
384067779928165971/13746752032 |
j-invariant |
L |
4.3626009416643 |
L(r)(E,1)/r! |
Ω |
0.18880023596727 |
Real period |
R |
7.7023225444494 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
20826w2 |
Quadratic twists by: -3 |