Atkin-Lehner |
2+ 3- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
103488dc |
Isogeny class |
Conductor |
103488 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
196608 |
Modular degree for the optimal curve |
Δ |
-3803898998592 = -1 · 26 · 38 · 77 · 11 |
Discriminant |
Eigenvalues |
2+ 3- 2 7- 11+ 2 2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,3708,-34182] |
[a1,a2,a3,a4,a6] |
Generators |
[15705:194886:125] |
Generators of the group modulo torsion |
j |
748613312/505197 |
j-invariant |
L |
10.886202092637 |
L(r)(E,1)/r! |
Ω |
0.4459707231239 |
Real period |
R |
6.1025317947689 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000021163 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
103488bw1 51744x2 14784o1 |
Quadratic twists by: -4 8 -7 |