Atkin-Lehner |
2+ 5- 13+ 103- |
Signs for the Atkin-Lehner involutions |
Class |
107120f |
Isogeny class |
Conductor |
107120 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
245760 |
Modular degree for the optimal curve |
Δ |
289652480000 = 211 · 54 · 133 · 103 |
Discriminant |
Eigenvalues |
2+ 0 5- -1 -3 13+ 1 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-132227,-18506654] |
[a1,a2,a3,a4,a6] |
Generators |
[-210:4:1] |
Generators of the group modulo torsion |
j |
124840124703778482/141431875 |
j-invariant |
L |
5.3721094439721 |
L(r)(E,1)/r! |
Ω |
0.25036265476996 |
Real period |
R |
2.6821639190497 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000017796 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
53560b1 |
Quadratic twists by: -4 |