Atkin-Lehner |
2+ 3+ 11+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
55506c |
Isogeny class |
Conductor |
55506 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
8022951971068518 = 2 · 36 · 11 · 298 |
Discriminant |
Eigenvalues |
2+ 3+ 4 0 11+ -2 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-84958,-8536970] |
[a1,a2,a3,a4,a6] |
Generators |
[44251035:5043823423:3375] |
Generators of the group modulo torsion |
j |
114013572049/13487958 |
j-invariant |
L |
5.5565060852347 |
L(r)(E,1)/r! |
Ω |
0.28180025370161 |
Real period |
R |
9.858944433531 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000066 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1914q2 |
Quadratic twists by: 29 |