Atkin-Lehner |
2+ 7- 13+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
67522i |
Isogeny class |
Conductor |
67522 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
1445184 |
Modular degree for the optimal curve |
Δ |
-46740348928 = -1 · 213 · 72 · 133 · 53 |
Discriminant |
Eigenvalues |
2+ -2 -2 7- -6 13+ 5 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-5413182,-4848053584] |
[a1,a2,a3,a4,a6] |
Generators |
[3231493352007908114787672:388851328356579954728266645:215677888250037700096] |
Generators of the group modulo torsion |
j |
-358001959591264716336553/953884672 |
j-invariant |
L |
2.024786288402 |
L(r)(E,1)/r! |
Ω |
0.049488741675176 |
Real period |
R |
40.914079038257 |
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 |
67522c1 |
Quadratic twists by: -7 |