Atkin-Lehner |
3- 5+ 7- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
105525t |
Isogeny class |
Conductor |
105525 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
274176 |
Modular degree for the optimal curve |
Δ |
-87692264296875 = -1 · 36 · 57 · 73 · 672 |
Discriminant |
Eigenvalues |
0 3- 5+ 7- 5 -1 -3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-58950,5527406] |
[a1,a2,a3,a4,a6] |
Generators |
[370:5862:1] |
Generators of the group modulo torsion |
j |
-1988967038976/7698635 |
j-invariant |
L |
6.1463450392919 |
L(r)(E,1)/r! |
Ω |
0.60769946962069 |
Real period |
R |
0.42142164175923 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000069768 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11725a1 21105d1 |
Quadratic twists by: -3 5 |