Atkin-Lehner |
2+ 3- 5- 17- 31- |
Signs for the Atkin-Lehner involutions |
Class |
79050bg |
Isogeny class |
Conductor |
79050 |
Conductor |
∏ cp |
168 |
Product of Tamagawa factors cp |
deg |
564480 |
Modular degree for the optimal curve |
Δ |
-4636621835563500 = -1 · 22 · 36 · 53 · 177 · 31 |
Discriminant |
Eigenvalues |
2+ 3- 5- -3 3 1 17- 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,18764,3124718] |
[a1,a2,a3,a4,a6] |
Generators |
[-89:911:1] |
Generators of the group modulo torsion |
j |
5845521236025619/37092974684508 |
j-invariant |
L |
6.1495782901189 |
L(r)(E,1)/r! |
Ω |
0.31503858268688 |
Real period |
R |
0.11619095146594 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002297 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
79050bu1 |
Quadratic twists by: 5 |