Atkin-Lehner |
2- 3+ 13- 17+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
91494p |
Isogeny class |
Conductor |
91494 |
Conductor |
∏ cp |
384 |
Product of Tamagawa factors cp |
Δ |
3718303936764648192 = 28 · 39 · 136 · 172 · 232 |
Discriminant |
Eigenvalues |
2- 3+ 0 -4 4 13- 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-10682120,13440339019] |
[a1,a2,a3,a4,a6] |
Generators |
[923:65617:1] |
Generators of the group modulo torsion |
j |
6848646319010730562875/188909411002624 |
j-invariant |
L |
8.8898127516421 |
L(r)(E,1)/r! |
Ω |
0.23134266879708 |
Real period |
R |
0.40028161139128 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999990636 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
91494d2 |
Quadratic twists by: -3 |