Atkin-Lehner |
2+ 5- 7- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
103880m |
Isogeny class |
Conductor |
103880 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
161280 |
Modular degree for the optimal curve |
Δ |
186751308800 = 210 · 52 · 72 · 533 |
Discriminant |
Eigenvalues |
2+ -2 5- 7- -5 5 -3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-8640,-311312] |
[a1,a2,a3,a4,a6] |
Generators |
[-52:8:1] |
Generators of the group modulo torsion |
j |
1421736677956/3721925 |
j-invariant |
L |
4.3755242607521 |
L(r)(E,1)/r! |
Ω |
0.49526228759846 |
Real period |
R |
2.20869041162 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999938963 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
103880c1 |
Quadratic twists by: -7 |