Atkin-Lehner |
2- 3+ 5- 23+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
100050bz |
Isogeny class |
Conductor |
100050 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
23717961054000 = 24 · 36 · 53 · 23 · 294 |
Discriminant |
Eigenvalues |
2- 3+ 5- -2 0 -4 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-7448,-82519] |
[a1,a2,a3,a4,a6] |
Generators |
[-45:427:1] |
Generators of the group modulo torsion |
j |
365541211964501/189743688432 |
j-invariant |
L |
6.9615899419146 |
L(r)(E,1)/r! |
Ω |
0.54392634439312 |
Real period |
R |
1.5998466518448 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000020821 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
100050bj2 |
Quadratic twists by: 5 |