Atkin-Lehner |
5- 7- 17+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
79135u |
Isogeny class |
Conductor |
79135 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
637056 |
Modular degree for the optimal curve |
Δ |
78226470965474125 = 53 · 710 · 17 · 194 |
Discriminant |
Eigenvalues |
0 -1 5- 7- 2 0 17+ 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-468995,-122732562] |
[a1,a2,a3,a4,a6] |
Generators |
[-376:557:1] |
Generators of the group modulo torsion |
j |
40387677159424/276932125 |
j-invariant |
L |
4.8311864519199 |
L(r)(E,1)/r! |
Ω |
0.18251008963902 |
Real period |
R |
4.4117985113215 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002683 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
79135f1 |
Quadratic twists by: -7 |