Atkin-Lehner |
2- 3+ 5- 13- 19- |
Signs for the Atkin-Lehner involutions |
Class |
7410r |
Isogeny class |
Conductor |
7410 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
457426710000 = 24 · 33 · 54 · 13 · 194 |
Discriminant |
Eigenvalues |
2- 3+ 5- 0 -4 13- -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-30140,2001197] |
[a1,a2,a3,a4,a6] |
Generators |
[-113:2051:1] |
Generators of the group modulo torsion |
j |
3027989442753063361/457426710000 |
j-invariant |
L |
5.5008086594873 |
L(r)(E,1)/r! |
Ω |
0.90570699642194 |
Real period |
R |
1.5183742317379 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
59280ce4 22230q4 37050bc4 96330a4 |
Quadratic twists by: -4 -3 5 13 |