Atkin-Lehner |
2+ 3- 7+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
117978h |
Isogeny class |
Conductor |
117978 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
Δ |
271914140065333248 = 230 · 35 · 7 · 533 |
Discriminant |
Eigenvalues |
2+ 3- 2 7+ -2 4 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-580780,168453098] |
[a1,a2,a3,a4,a6] |
Generators |
[346:2819:1] |
Generators of the group modulo torsion |
j |
145522445882936669/1826434842624 |
j-invariant |
L |
7.1782004974973 |
L(r)(E,1)/r! |
Ω |
0.31060854951288 |
Real period |
R |
4.6220237507509 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000004503 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
117978n3 |
Quadratic twists by: 53 |