Atkin-Lehner |
2- 3- 5- 11- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
122760bz |
Isogeny class |
Conductor |
122760 |
Conductor |
∏ cp |
576 |
Product of Tamagawa factors cp |
Δ |
-3.2311714746094E+23 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 11- 0 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,15926433,-12225931774] |
[a1,a2,a3,a4,a6] |
Generators |
[1367:110000:1] |
Generators of the group modulo torsion |
j |
2393931808483113851696/1731380462646484375 |
j-invariant |
L |
7.2960822504098 |
L(r)(E,1)/r! |
Ω |
0.0542228003535 |
Real period |
R |
0.93442679616299 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000046729 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
13640c2 |
Quadratic twists by: -3 |