Atkin-Lehner |
2- 3+ 5+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
14100d |
Isogeny class |
Conductor |
14100 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
7776 |
Modular degree for the optimal curve |
Δ |
5076000000 = 28 · 33 · 56 · 47 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 1 -3 4 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-933,10737] |
[a1,a2,a3,a4,a6] |
Generators |
[8:61:1] |
Generators of the group modulo torsion |
j |
22478848/1269 |
j-invariant |
L |
4.2656562201718 |
L(r)(E,1)/r! |
Ω |
1.3434742087263 |
Real period |
R |
3.1750934945123 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
56400cp1 42300m1 564b1 |
Quadratic twists by: -4 -3 5 |