Atkin-Lehner |
2+ 3- 5- 7+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
44730p |
Isogeny class |
Conductor |
44730 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-442276611328125000 = -1 · 23 · 36 · 516 · 7 · 71 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ 0 -2 -2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,117606,-28008100] |
[a1,a2,a3,a4,a6] |
Generators |
[341:7017:1] [491:11917:1] |
Generators of the group modulo torsion |
j |
246764421781367391/606689453125000 |
j-invariant |
L |
7.2496989917534 |
L(r)(E,1)/r! |
Ω |
0.15353376569315 |
Real period |
R |
5.9023653193026 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999997 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4970g4 |
Quadratic twists by: -3 |