Atkin-Lehner |
2+ 3- 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
110352l |
Isogeny class |
Conductor |
110352 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
388608 |
Modular degree for the optimal curve |
Δ |
-75070194997248 = -1 · 211 · 32 · 118 · 19 |
Discriminant |
Eigenvalues |
2+ 3- 0 5 11- 1 -7 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-15528,848340] |
[a1,a2,a3,a4,a6] |
Generators |
[282:4356:1] |
Generators of the group modulo torsion |
j |
-943250/171 |
j-invariant |
L |
10.657073002476 |
L(r)(E,1)/r! |
Ω |
0.58889771181101 |
Real period |
R |
0.75402688478313 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000030261 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
55176b1 110352o1 |
Quadratic twists by: -4 -11 |