Atkin-Lehner |
3+ 5- 11+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
116325k |
Isogeny class |
Conductor |
116325 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
58880 |
Modular degree for the optimal curve |
Δ |
-27263671875 = -1 · 33 · 59 · 11 · 47 |
Discriminant |
Eigenvalues |
0 3+ 5- -3 11+ 2 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,750,781] |
[a1,a2,a3,a4,a6] |
Generators |
[25:-188:1] [2:245:8] |
Generators of the group modulo torsion |
j |
884736/517 |
j-invariant |
L |
9.2202325313622 |
L(r)(E,1)/r! |
Ω |
0.71731149147142 |
Real period |
R |
3.2134688492912 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999989526 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
116325n1 116325l1 |
Quadratic twists by: -3 5 |