Atkin-Lehner |
3+ 7- 23+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
125097d |
Isogeny class |
Conductor |
125097 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
102912 |
Modular degree for the optimal curve |
Δ |
-4894169931 = -1 · 36 · 73 · 232 · 37 |
Discriminant |
Eigenvalues |
-2 3+ 1 7- 3 -3 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-870,10730] |
[a1,a2,a3,a4,a6] |
Generators |
[-30:94:1] [5:80:1] |
Generators of the group modulo torsion |
j |
-212562399232/14268717 |
j-invariant |
L |
5.7547213306598 |
L(r)(E,1)/r! |
Ω |
1.3457202968688 |
Real period |
R |
0.53453913661163 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000010058 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
125097h1 |
Quadratic twists by: -7 |