Atkin-Lehner |
5+ 7- 11- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
110495c |
Isogeny class |
Conductor |
110495 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
5750784 |
Modular degree for the optimal curve |
Δ |
-965541436685546875 = -1 · 59 · 77 · 114 · 41 |
Discriminant |
Eigenvalues |
-2 2 5+ 7- 11- 4 4 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-7028086,-7169209804] |
[a1,a2,a3,a4,a6] |
Generators |
[5451:341260:1] |
Generators of the group modulo torsion |
j |
-326322286440989372416/8206966796875 |
j-invariant |
L |
5.1220991935933 |
L(r)(E,1)/r! |
Ω |
0.046361729822226 |
Real period |
R |
6.9050745546342 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999592449 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15785d1 |
Quadratic twists by: -7 |