Atkin-Lehner |
2+ 3- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
24642j |
Isogeny class |
Conductor |
24642 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
27184896 |
Modular degree for the optimal curve |
Δ |
-1.1426699055501E+25 |
Discriminant |
Eigenvalues |
2+ 3- -4 3 -5 -3 3 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-2246334174,-40978601092076] |
[a1,a2,a3,a4,a6] |
j |
-670206957616537490521/6109179936768 |
j-invariant |
L |
1.0964800403012 |
L(r)(E,1)/r! |
Ω |
0.010964800403013 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
25 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8214h1 666g1 |
Quadratic twists by: -3 37 |