Atkin-Lehner |
2- 5+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
49600cm |
Isogeny class |
Conductor |
49600 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
1290240 |
Modular degree for the optimal curve |
Δ |
-23832800000000000 = -1 · 214 · 511 · 313 |
Discriminant |
Eigenvalues |
2- -3 5+ 2 -2 -2 1 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3845200,2902204000] |
[a1,a2,a3,a4,a6] |
Generators |
[1065:3875:1] |
Generators of the group modulo torsion |
j |
-24560689104608256/93096875 |
j-invariant |
L |
3.5070109874582 |
L(r)(E,1)/r! |
Ω |
0.33272468739225 |
Real period |
R |
1.7567131427084 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999572 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
49600n1 12400k1 9920v1 |
Quadratic twists by: -4 8 5 |