Atkin-Lehner |
3- 5+ 13+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
59475k |
Isogeny class |
Conductor |
59475 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
98304 |
Modular degree for the optimal curve |
Δ |
-2041665234375 = -1 · 3 · 58 · 134 · 61 |
Discriminant |
Eigenvalues |
1 3- 5+ 4 4 13+ -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,974,67823] |
[a1,a2,a3,a4,a6] |
Generators |
[18295525185:-191772074936:397065375] |
Generators of the group modulo torsion |
j |
6549699311/130666575 |
j-invariant |
L |
10.912527864858 |
L(r)(E,1)/r! |
Ω |
0.61816128880674 |
Real period |
R |
17.653204855506 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998255 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11895b1 |
Quadratic twists by: 5 |