Atkin-Lehner |
3- 5- 7- 79- |
Signs for the Atkin-Lehner involutions |
Class |
41475v |
Isogeny class |
Conductor |
41475 |
Conductor |
∏ cp |
90 |
Product of Tamagawa factors cp |
deg |
158400 |
Modular degree for the optimal curve |
Δ |
882229630078125 = 35 · 58 · 76 · 79 |
Discriminant |
Eigenvalues |
-1 3- 5- 7- 0 1 1 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-25638,-676233] |
[a1,a2,a3,a4,a6] |
Generators |
[-123:849:1] |
Generators of the group modulo torsion |
j |
4771085130625/2258507853 |
j-invariant |
L |
4.9826621882104 |
L(r)(E,1)/r! |
Ω |
0.39519675258599 |
Real period |
R |
0.14008949425839 |
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 |
124425be1 41475b1 |
Quadratic twists by: -3 5 |