Atkin-Lehner |
2+ 5+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
42050j |
Isogeny class |
Conductor |
42050 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
362880 |
Modular degree for the optimal curve |
Δ |
-1078117269312500 = -1 · 22 · 56 · 297 |
Discriminant |
Eigenvalues |
2+ -3 5+ 2 1 -3 -4 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-24967,2197441] |
[a1,a2,a3,a4,a6] |
Generators |
[80:-881:1] |
Generators of the group modulo torsion |
j |
-185193/116 |
j-invariant |
L |
2.5401154076481 |
L(r)(E,1)/r! |
Ω |
0.45389268531864 |
Real period |
R |
1.3990726716915 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000032 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1682g1 1450f1 |
Quadratic twists by: 5 29 |