Atkin-Lehner |
2+ 3+ 13- 89- |
Signs for the Atkin-Lehner involutions |
Class |
20826h |
Isogeny class |
Conductor |
20826 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
60480 |
Modular degree for the optimal curve |
Δ |
-350752939490304 = -1 · 210 · 39 · 133 · 892 |
Discriminant |
Eigenvalues |
2+ 3+ 2 0 0 13- -4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-24396,-1715248] |
[a1,a2,a3,a4,a6] |
Generators |
[1958:20081:8] |
Generators of the group modulo torsion |
j |
-81582743753811/17820095488 |
j-invariant |
L |
4.3626009416643 |
L(r)(E,1)/r! |
Ω |
0.18880023596727 |
Real period |
R |
3.8511612722247 |
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 |
20826w1 |
Quadratic twists by: -3 |