Atkin-Lehner |
2+ 7- 11+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
10934c |
Isogeny class |
Conductor |
10934 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
14720 |
Modular degree for the optimal curve |
Δ |
-529036254208 = -1 · 210 · 7 · 114 · 712 |
Discriminant |
Eigenvalues |
2+ 2 0 7- 11+ 4 2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-555,-35587] |
[a1,a2,a3,a4,a6] |
Generators |
[142058:2818955:343] |
Generators of the group modulo torsion |
j |
-18959407629625/529036254208 |
j-invariant |
L |
4.9095808538676 |
L(r)(E,1)/r! |
Ω |
0.40201842405339 |
Real period |
R |
6.1061639966227 |
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 |
87472c1 98406m1 76538p1 120274l1 |
Quadratic twists by: -4 -3 -7 -11 |