Atkin-Lehner |
2+ 7+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
13888a |
Isogeny class |
Conductor |
13888 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
98752790528 = 221 · 72 · 312 |
Discriminant |
Eigenvalues |
2+ 0 0 7+ 2 2 2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3020,62064] |
[a1,a2,a3,a4,a6] |
Generators |
[5:217:1] |
Generators of the group modulo torsion |
j |
11619959625/376712 |
j-invariant |
L |
4.5876075085577 |
L(r)(E,1)/r! |
Ω |
1.0590795334987 |
Real period |
R |
2.1658465504486 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
13888t2 434a2 124992ba2 97216o2 |
Quadratic twists by: -4 8 -3 -7 |