Atkin-Lehner |
2- 5- 7- 103- |
Signs for the Atkin-Lehner involutions |
Class |
14420c |
Isogeny class |
Conductor |
14420 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
2736 |
Modular degree for the optimal curve |
Δ |
23072000 = 28 · 53 · 7 · 103 |
Discriminant |
Eigenvalues |
2- 2 5- 7- -2 -1 -3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-85,225] |
[a1,a2,a3,a4,a6] |
Generators |
[0:15:1] |
Generators of the group modulo torsion |
j |
268435456/90125 |
j-invariant |
L |
7.2144500224042 |
L(r)(E,1)/r! |
Ω |
1.9687437729506 |
Real period |
R |
1.2214980472195 |
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 |
57680w1 129780k1 72100a1 100940b1 |
Quadratic twists by: -4 -3 5 -7 |