Atkin-Lehner |
2- 3- 5- 19- |
Signs for the Atkin-Lehner involutions |
Class |
27360bd |
Isogeny class |
Conductor |
27360 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
755859095907840000 = 212 · 316 · 54 · 193 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 2 2 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-256332,-27304256] |
[a1,a2,a3,a4,a6] |
Generators |
[-172:3420:1] |
Generators of the group modulo torsion |
j |
623799057208384/253135681875 |
j-invariant |
L |
6.475492295139 |
L(r)(E,1)/r! |
Ω |
0.2198191616678 |
Real period |
R |
1.2274279317463 |
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 |
27360bb2 54720di1 9120f2 |
Quadratic twists by: -4 8 -3 |