Atkin-Lehner |
2+ 3+ 7- 103- |
Signs for the Atkin-Lehner involutions |
Class |
103824h |
Isogeny class |
Conductor |
103824 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
1036800 |
Modular degree for the optimal curve |
Δ |
-408898409551688448 = -1 · 28 · 39 · 7 · 1035 |
Discriminant |
Eigenvalues |
2+ 3+ -2 7- -3 2 -1 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-291276,67879404] |
[a1,a2,a3,a4,a6] |
Generators |
[11940:286443:64] |
Generators of the group modulo torsion |
j |
-542383613512704/81149185201 |
j-invariant |
L |
4.8667288287809 |
L(r)(E,1)/r! |
Ω |
0.28901462947666 |
Real period |
R |
1.6839039674469 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000033948 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
51912b1 103824f1 |
Quadratic twists by: -4 -3 |