Atkin-Lehner |
2- 3+ 5+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
9360bb |
Isogeny class |
Conductor |
9360 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
21352258437120 = 215 · 33 · 5 · 136 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 4 0 13- -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-8043,166298] |
[a1,a2,a3,a4,a6] |
Generators |
[-17:546:1] |
Generators of the group modulo torsion |
j |
520300455507/193072360 |
j-invariant |
L |
4.7218295179169 |
L(r)(E,1)/r! |
Ω |
0.62193229650575 |
Real period |
R |
1.2653653633056 |
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 |
1170i2 37440dk2 9360bh4 46800cb2 |
Quadratic twists by: -4 8 -3 5 |