Atkin-Lehner |
2+ 3- 5- 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
51480s |
Isogeny class |
Conductor |
51480 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-84282109875025920 = -1 · 211 · 39 · 5 · 114 · 134 |
Discriminant |
Eigenvalues |
2+ 3- 5- 4 11+ 13+ 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-9507,13972286] |
[a1,a2,a3,a4,a6] |
Generators |
[-82390:530998:343] |
Generators of the group modulo torsion |
j |
-63649751618/56451816135 |
j-invariant |
L |
8.1364174819088 |
L(r)(E,1)/r! |
Ω |
0.2756159224298 |
Real period |
R |
7.3802135687164 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000032 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
102960bs3 17160q4 |
Quadratic twists by: -4 -3 |