Atkin-Lehner |
2+ 3+ 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
103488a |
Isogeny class |
Conductor |
103488 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
1161216 |
Modular degree for the optimal curve |
Δ |
-868932506508853248 = -1 · 222 · 33 · 78 · 113 |
Discriminant |
Eigenvalues |
2+ 3+ 0 7+ 11+ 4 3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-189793,-54929951] |
[a1,a2,a3,a4,a6] |
Generators |
[68805:332416:125] |
Generators of the group modulo torsion |
j |
-500313625/574992 |
j-invariant |
L |
6.0207203812506 |
L(r)(E,1)/r! |
Ω |
0.10949061279097 |
Real period |
R |
4.5823718120542 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000013945 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
103488hd1 3234j1 103488cv1 |
Quadratic twists by: -4 8 -7 |