Atkin-Lehner |
2- 3+ 7+ 103+ |
Signs for the Atkin-Lehner involutions |
Class |
103824bd |
Isogeny class |
Conductor |
103824 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
53760 |
Modular degree for the optimal curve |
Δ |
-1116315648 = -1 · 213 · 33 · 72 · 103 |
Discriminant |
Eigenvalues |
2- 3+ -4 7+ -3 -4 0 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,93,1570] |
[a1,a2,a3,a4,a6] |
Generators |
[9:-56:1] [-7:24:1] |
Generators of the group modulo torsion |
j |
804357/10094 |
j-invariant |
L |
8.0256341035025 |
L(r)(E,1)/r! |
Ω |
1.1437406057175 |
Real period |
R |
0.4385628428241 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999994435 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12978c1 103824bc1 |
Quadratic twists by: -4 -3 |