Atkin-Lehner |
2- 3+ 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
23520bc |
Isogeny class |
Conductor |
23520 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-62743584936775680 = -1 · 212 · 312 · 5 · 78 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 0 -2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,16399,12018945] |
[a1,a2,a3,a4,a6] |
Generators |
[-191:1372:1] |
Generators of the group modulo torsion |
j |
1012048064/130203045 |
j-invariant |
L |
3.8667217606608 |
L(r)(E,1)/r! |
Ω |
0.26893649567987 |
Real period |
R |
1.7972280737157 |
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 |
23520m2 47040db1 70560bk2 117600cn2 |
Quadratic twists by: -4 8 -3 5 |