Atkin-Lehner |
2- 3+ 5+ 7+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
98700c |
Isogeny class |
Conductor |
98700 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
Δ |
1414772011931250000 = 24 · 3 · 58 · 7 · 476 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ 0 -2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-4326133,-3461447738] |
[a1,a2,a3,a4,a6] |
Generators |
[-76572:41125:64] |
Generators of the group modulo torsion |
j |
35816521494729588736/5659088047725 |
j-invariant |
L |
5.2948066883702 |
L(r)(E,1)/r! |
Ω |
0.10468361152631 |
Real period |
R |
2.809952032478 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000005309 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
19740v3 |
Quadratic twists by: 5 |