Atkin-Lehner |
2- 3+ 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
14700i |
Isogeny class |
Conductor |
14700 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
13824 |
Modular degree for the optimal curve |
Δ |
-367500000000 = -1 · 28 · 3 · 510 · 72 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- -2 1 -4 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,467,-29063] |
[a1,a2,a3,a4,a6] |
Generators |
[27:50:1] |
Generators of the group modulo torsion |
j |
57344/1875 |
j-invariant |
L |
3.8218580563298 |
L(r)(E,1)/r! |
Ω |
0.45997245579665 |
Real period |
R |
1.3848141007018 |
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 |
58800if1 44100bo1 2940h1 14700ba1 |
Quadratic twists by: -4 -3 5 -7 |