Atkin-Lehner |
2+ 17- 37- |
Signs for the Atkin-Lehner involutions |
Class |
40256t |
Isogeny class |
Conductor |
40256 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
28800 |
Modular degree for the optimal curve |
Δ |
936877888 = 26 · 172 · 373 |
Discriminant |
Eigenvalues |
2+ -3 2 1 3 -4 17- -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-844,9322] |
[a1,a2,a3,a4,a6] |
Generators |
[11:-37:1] |
Generators of the group modulo torsion |
j |
1038893617152/14638717 |
j-invariant |
L |
4.0484394071622 |
L(r)(E,1)/r! |
Ω |
1.5745125193417 |
Real period |
R |
0.42853892420995 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999984 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
40256bd1 629b1 |
Quadratic twists by: -4 8 |