Atkin-Lehner |
2- 3+ 5+ 7+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
55650cc |
Isogeny class |
Conductor |
55650 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
12699317826562500 = 22 · 310 · 58 · 72 · 532 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ 4 -2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-1502563,-709525219] |
[a1,a2,a3,a4,a6] |
Generators |
[69307135540:1079740359447:45118016] |
Generators of the group modulo torsion |
j |
24010531574690361961/812756340900 |
j-invariant |
L |
7.7110146482757 |
L(r)(E,1)/r! |
Ω |
0.13636165472151 |
Real period |
R |
14.13706562903 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999937 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
11130r2 |
Quadratic twists by: 5 |