Atkin-Lehner |
3- 5+ 7- 79+ |
Signs for the Atkin-Lehner involutions |
Class |
124425m |
Isogeny class |
Conductor |
124425 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
4613536834716796875 = 37 · 518 · 7 · 79 |
Discriminant |
Eigenvalues |
1 3- 5+ 7- 4 6 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-2064042,1137196741] |
[a1,a2,a3,a4,a6] |
Generators |
[19221865246193186:-1011360373666065343:5923845974584] |
Generators of the group modulo torsion |
j |
85375226113731289/405029296875 |
j-invariant |
L |
9.8884255248389 |
L(r)(E,1)/r! |
Ω |
0.24574218753984 |
Real period |
R |
20.119511451098 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000012527 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
41475d4 24885i4 |
Quadratic twists by: -3 5 |