Atkin-Lehner |
2+ 3- 7- 13+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
118482bd |
Isogeny class |
Conductor |
118482 |
Conductor |
∏ cp |
112 |
Product of Tamagawa factors cp |
Δ |
550072658221632 = 26 · 314 · 73 · 132 · 31 |
Discriminant |
Eigenvalues |
2+ 3- 0 7- 4 13+ 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-78216,8337046] |
[a1,a2,a3,a4,a6] |
Generators |
[113:-1029:1] |
Generators of the group modulo torsion |
j |
154279568975395375/1603710373824 |
j-invariant |
L |
6.622888309616 |
L(r)(E,1)/r! |
Ω |
0.52131091628647 |
Real period |
R |
0.4537248622375 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000070538 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
118482q2 |
Quadratic twists by: -7 |