Atkin-Lehner |
2- 5+ 7+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
14350o |
Isogeny class |
Conductor |
14350 |
Conductor |
∏ cp |
15 |
Product of Tamagawa factors cp |
deg |
12960 |
Modular degree for the optimal curve |
Δ |
241223500000 = 25 · 56 · 7 · 413 |
Discriminant |
Eigenvalues |
2- -1 5+ 7+ 0 -2 3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-1988,23781] |
[a1,a2,a3,a4,a6] |
Generators |
[9:77:1] |
Generators of the group modulo torsion |
j |
55611739513/15438304 |
j-invariant |
L |
5.5100740625544 |
L(r)(E,1)/r! |
Ω |
0.92149907666094 |
Real period |
R |
0.39863118709572 |
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 |
114800bz1 129150p1 574f1 100450bi1 |
Quadratic twists by: -4 -3 5 -7 |