Atkin-Lehner |
2- 3- 5- 11+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
72270bi |
Isogeny class |
Conductor |
72270 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-45465394992697350 = -1 · 2 · 37 · 52 · 114 · 734 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 11+ 6 -2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-113702,-17944149] |
[a1,a2,a3,a4,a6] |
Generators |
[38242680476:933294826491:48228544] |
Generators of the group modulo torsion |
j |
-222995918757275929/62366796972150 |
j-invariant |
L |
11.184280440972 |
L(r)(E,1)/r! |
Ω |
0.12813499694025 |
Real period |
R |
10.910641812025 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999994389 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
24090c3 |
Quadratic twists by: -3 |