Atkin-Lehner |
2+ 5- 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
42350bo |
Isogeny class |
Conductor |
42350 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
622080 |
Modular degree for the optimal curve |
Δ |
-1811658369949120000 = -1 · 29 · 54 · 74 · 119 |
Discriminant |
Eigenvalues |
2+ -2 5- 7+ 11- 1 0 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-134676,-67505902] |
[a1,a2,a3,a4,a6] |
Generators |
[3002:161546:1] |
Generators of the group modulo torsion |
j |
-243979633825/1636214272 |
j-invariant |
L |
2.345812295303 |
L(r)(E,1)/r! |
Ω |
0.11082625413524 |
Real period |
R |
0.88194065326278 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000026 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
42350cn1 3850bb1 |
Quadratic twists by: 5 -11 |