Atkin-Lehner |
2- 5+ 11- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
73700d |
Isogeny class |
Conductor |
73700 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
Δ |
-90980807500000000 = -1 · 28 · 510 · 112 · 673 |
Discriminant |
Eigenvalues |
2- 2 5+ -2 11- 4 6 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-12223333,-16444670463] |
[a1,a2,a3,a4,a6] |
Generators |
[5448181262207968973783592:-340921643758452842031260391:867541785631870349827] |
Generators of the group modulo torsion |
j |
-80789081232179200/36392323 |
j-invariant |
L |
9.6809383142058 |
L(r)(E,1)/r! |
Ω |
0.04037124413889 |
Real period |
R |
39.96631150339 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
73700i2 |
Quadratic twists by: 5 |