Atkin-Lehner |
2- 3- 5- 7- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
103320bp |
Isogeny class |
Conductor |
103320 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
deg |
798720 |
Modular degree for the optimal curve |
Δ |
53383248450000 = 24 · 312 · 55 · 72 · 41 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- -6 -6 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-384942,-91925899] |
[a1,a2,a3,a4,a6] |
Generators |
[-358:25:1] |
Generators of the group modulo torsion |
j |
540831646674724864/4576753125 |
j-invariant |
L |
5.5243546613124 |
L(r)(E,1)/r! |
Ω |
0.19166859114411 |
Real period |
R |
1.4411215278398 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000005689 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
34440c1 |
Quadratic twists by: -3 |