Atkin-Lehner |
3- 7+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
1953c |
Isogeny class |
Conductor |
1953 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
397222623 = 310 · 7 · 312 |
Discriminant |
Eigenvalues |
-1 3- 2 7+ 2 -4 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-284,1640] |
[a1,a2,a3,a4,a6] |
Generators |
[0:40:1] |
Generators of the group modulo torsion |
j |
3463512697/544887 |
j-invariant |
L |
2.1350503021182 |
L(r)(E,1)/r! |
Ω |
1.6140475262381 |
Real period |
R |
0.66139635525307 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
31248bz2 124992cd2 651c2 48825bh2 |
Quadratic twists by: -4 8 -3 5 |