Atkin-Lehner |
2+ 3+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
103488bz |
Isogeny class |
Conductor |
103488 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
166656 |
Modular degree for the optimal curve |
Δ |
-6562464984768 = -1 · 26 · 3 · 710 · 112 |
Discriminant |
Eigenvalues |
2+ 3+ -2 7- 11- -1 4 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,1601,-121295] |
[a1,a2,a3,a4,a6] |
Generators |
[912:27551:1] |
Generators of the group modulo torsion |
j |
25088/363 |
j-invariant |
L |
5.030891633988 |
L(r)(E,1)/r! |
Ω |
0.36734432827424 |
Real period |
R |
6.8476511667915 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999955184 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
103488dg1 51744ch1 103488cp1 |
Quadratic twists by: -4 8 -7 |