Atkin-Lehner |
2- 3- 5- 17+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
109650dl |
Isogeny class |
Conductor |
109650 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
Δ |
-690878051453880000 = -1 · 26 · 32 · 54 · 176 · 433 |
Discriminant |
Eigenvalues |
2- 3- 5- -4 -3 5 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-332138,-83857308] |
[a1,a2,a3,a4,a6] |
Generators |
[1096:-30026:1] |
Generators of the group modulo torsion |
j |
-6483350115004440625/1105404882326208 |
j-invariant |
L |
10.978258370635 |
L(r)(E,1)/r! |
Ω |
0.098517002139583 |
Real period |
R |
1.5477106184491 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000025844 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
109650f2 |
Quadratic twists by: 5 |