Atkin-Lehner |
2- 3- 31+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
29574h |
Isogeny class |
Conductor |
29574 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
107520 |
Modular degree for the optimal curve |
Δ |
-346648209351336 = -1 · 23 · 311 · 31 · 534 |
Discriminant |
Eigenvalues |
2- 3- 1 -2 3 5 -3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-24827,-1745773] |
[a1,a2,a3,a4,a6] |
Generators |
[27405:213764:125] |
Generators of the group modulo torsion |
j |
-2321413559693929/475511946984 |
j-invariant |
L |
9.3044653407382 |
L(r)(E,1)/r! |
Ω |
0.18809809914016 |
Real period |
R |
2.0610843896684 |
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 |
9858b1 |
Quadratic twists by: -3 |