Atkin-Lehner |
2+ 3+ 5- 79- |
Signs for the Atkin-Lehner involutions |
Class |
35550f |
Isogeny class |
Conductor |
35550 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
58752 |
Modular degree for the optimal curve |
Δ |
-99517248000 = -1 · 29 · 39 · 53 · 79 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -2 4 -3 6 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-5037,-137179] |
[a1,a2,a3,a4,a6] |
Generators |
[145:1399:1] |
Generators of the group modulo torsion |
j |
-5744956671/40448 |
j-invariant |
L |
4.0520391400023 |
L(r)(E,1)/r! |
Ω |
0.28323040938384 |
Real period |
R |
3.576627902365 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
35550bg1 35550bf1 |
Quadratic twists by: -3 5 |