Atkin-Lehner |
2+ 3+ 5- 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
114240cl |
Isogeny class |
Conductor |
114240 |
Conductor |
∏ cp |
240 |
Product of Tamagawa factors cp |
Δ |
10444972339200000 = 215 · 3 · 55 · 76 · 172 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- -2 -2 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-392225,94550625] |
[a1,a2,a3,a4,a6] |
Generators |
[225:4200:1] [-335:13720:1] |
Generators of the group modulo torsion |
j |
203648257981030472/318755259375 |
j-invariant |
L |
11.15677362941 |
L(r)(E,1)/r! |
Ω |
0.40587127188061 |
Real period |
R |
0.45814089356725 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999991489 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
114240eg2 57120t2 |
Quadratic twists by: -4 8 |