Atkin-Lehner |
2+ 7+ 11+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
10934a |
Isogeny class |
Conductor |
10934 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
33280 |
Modular degree for the optimal curve |
Δ |
-206713555322428 = -1 · 22 · 75 · 112 · 714 |
Discriminant |
Eigenvalues |
2+ 0 0 7+ 11+ 2 0 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-36617,-2775111] |
[a1,a2,a3,a4,a6] |
Generators |
[56845:1050243:125] |
Generators of the group modulo torsion |
j |
-5429735369103515625/206713555322428 |
j-invariant |
L |
2.8781349730153 |
L(r)(E,1)/r! |
Ω |
0.1721786732117 |
Real period |
R |
8.3579891728999 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
87472h1 98406k1 76538i1 120274n1 |
Quadratic twists by: -4 -3 -7 -11 |