Atkin-Lehner |
3+ 5- 17+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
59925j |
Isogeny class |
Conductor |
59925 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
552960 |
Modular degree for the optimal curve |
Δ |
-5589218794921875 = -1 · 36 · 59 · 174 · 47 |
Discriminant |
Eigenvalues |
2 3+ 5- 0 -4 1 17+ -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,3292,-3597307] |
[a1,a2,a3,a4,a6] |
Generators |
[207410:2441839:1000] |
Generators of the group modulo torsion |
j |
2019487744/2861680023 |
j-invariant |
L |
9.3642988734237 |
L(r)(E,1)/r! |
Ω |
0.19902564276393 |
Real period |
R |
5.881339424144 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999997851 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
59925x1 |
Quadratic twists by: 5 |