Atkin-Lehner |
2- 7- 13- 73- |
Signs for the Atkin-Lehner involutions |
Class |
93002u |
Isogeny class |
Conductor |
93002 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
3090729008834032202 = 2 · 718 · 13 · 73 |
Discriminant |
Eigenvalues |
2- 0 -2 7- 0 13- 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-616111,165964397] |
[a1,a2,a3,a4,a6] |
Generators |
[665757477988172664060:-69173358191762560755391:61939320973496000] |
Generators of the group modulo torsion |
j |
219842522913375153/26270763107498 |
j-invariant |
L |
8.5660333650319 |
L(r)(E,1)/r! |
Ω |
0.24423696508116 |
Real period |
R |
35.072632709828 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999936697 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
13286l3 |
Quadratic twists by: -7 |