Atkin-Lehner |
2- 3+ 5- 7+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
7770r |
Isogeny class |
Conductor |
7770 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
74385450090 = 2 · 34 · 5 · 72 · 374 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7+ 0 -2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-2870,-58903] |
[a1,a2,a3,a4,a6] |
j |
2614441086442081/74385450090 |
j-invariant |
L |
2.6136257249857 |
L(r)(E,1)/r! |
Ω |
0.65340643124642 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
62160db3 23310h3 38850bj3 54390cp3 |
Quadratic twists by: -4 -3 5 -7 |