Atkin-Lehner |
2+ 3- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
738c |
Isogeny class |
Conductor |
738 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
397045476 = 22 · 310 · 412 |
Discriminant |
Eigenvalues |
2+ 3- 2 4 4 2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-261,1377] |
[a1,a2,a3,a4,a6] |
j |
2703045457/544644 |
j-invariant |
L |
1.5977768393853 |
L(r)(E,1)/r! |
Ω |
1.5977768393853 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
5904m2 23616k2 246e2 18450bs2 |
Quadratic twists by: -4 8 -3 5 |