Atkin-Lehner |
2+ 3+ 5- 17+ 79- |
Signs for the Atkin-Lehner involutions |
Class |
120870b |
Isogeny class |
Conductor |
120870 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
322922949670687500 = 22 · 33 · 56 · 173 · 794 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 0 2 -2 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-265674,-44995432] |
[a1,a2,a3,a4,a6] |
Generators |
[1282:-42116:1] |
Generators of the group modulo torsion |
j |
76808278459942193403/11960109247062500 |
j-invariant |
L |
5.305390945094 |
L(r)(E,1)/r! |
Ω |
0.21249166681271 |
Real period |
R |
1.040313532892 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999743749 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
120870q2 |
Quadratic twists by: -3 |