Atkin-Lehner |
2+ 3- 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
1302h |
Isogeny class |
Conductor |
1302 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
-8349634630848 = -1 · 26 · 3 · 72 · 316 |
Discriminant |
Eigenvalues |
2+ 3- 0 7- 6 2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-3321,-157604] |
[a1,a2,a3,a4,a6] |
j |
-4048949315391625/8349634630848 |
j-invariant |
L |
1.7708010182517 |
L(r)(E,1)/r! |
Ω |
0.29513350304195 |
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 |
10416p4 41664z4 3906u4 32550bu4 |
Quadratic twists by: -4 8 -3 5 |