Atkin-Lehner |
3+ 5- 7- 103- |
Signs for the Atkin-Lehner involutions |
Class |
54075r |
Isogeny class |
Conductor |
54075 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
121600 |
Modular degree for the optimal curve |
Δ |
17527600125 = 34 · 53 · 75 · 103 |
Discriminant |
Eigenvalues |
0 3+ 5- 7- 0 -1 -7 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-72903,7600808] |
[a1,a2,a3,a4,a6] |
Generators |
[-24:3055:1] [102:1102:1] |
Generators of the group modulo torsion |
j |
342811874404302848/140220801 |
j-invariant |
L |
7.246326373747 |
L(r)(E,1)/r! |
Ω |
0.9996152529158 |
Real period |
R |
0.36245577248913 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999955 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
54075ba1 |
Quadratic twists by: 5 |