Atkin-Lehner |
2- 3- 5- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
35490du |
Isogeny class |
Conductor |
35490 |
Conductor |
∏ cp |
21504 |
Product of Tamagawa factors cp |
deg |
72253440 |
Modular degree for the optimal curve |
Δ |
1.2956138748102E+27 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 4 13+ -2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-23472434255,1384153823997177] |
[a1,a2,a3,a4,a6] |
Generators |
[88294:-119747:1] |
Generators of the group modulo torsion |
j |
296304326013275547793071733369/268420373544960000000 |
j-invariant |
L |
12.244997951832 |
L(r)(E,1)/r! |
Ω |
0.040420777348118 |
Real period |
R |
0.22540045414856 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
106470bt1 2730k1 |
Quadratic twists by: -3 13 |