Atkin-Lehner |
2- 3+ 5- 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
106470dr |
Isogeny class |
Conductor |
106470 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
2322432 |
Modular degree for the optimal curve |
Δ |
352267047051912720 = 24 · 33 · 5 · 7 · 1312 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7+ -6 13+ 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1485542,696693989] |
[a1,a2,a3,a4,a6] |
Generators |
[6294:27269:8] |
Generators of the group modulo torsion |
j |
2781982314427707/2703013040 |
j-invariant |
L |
10.228972435518 |
L(r)(E,1)/r! |
Ω |
0.3013161053453 |
Real period |
R |
4.2434557378968 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999866379 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
106470e3 8190b1 |
Quadratic twists by: -3 13 |