Atkin-Lehner |
2+ 3+ 5- 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
31920i |
Isogeny class |
Conductor |
31920 |
Conductor |
∏ cp |
384 |
Product of Tamagawa factors cp |
Δ |
-891525600000000 = -1 · 211 · 32 · 58 · 73 · 192 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- -2 2 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,2760,-1436400] |
[a1,a2,a3,a4,a6] |
Generators |
[480:-10500:1] |
Generators of the group modulo torsion |
j |
1134915803278/435315234375 |
j-invariant |
L |
5.3361827563746 |
L(r)(E,1)/r! |
Ω |
0.23372028297533 |
Real period |
R |
0.23782804101532 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
15960h2 127680fn2 95760y2 |
Quadratic twists by: -4 8 -3 |