Atkin-Lehner |
2- 5- 7+ 89+ |
Signs for the Atkin-Lehner involutions |
Class |
62300o |
Isogeny class |
Conductor |
62300 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
98880 |
Modular degree for the optimal curve |
Δ |
-27723500000000 = -1 · 28 · 59 · 7 · 892 |
Discriminant |
Eigenvalues |
2- 1 5- 7+ -1 3 7 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,667,253463] |
[a1,a2,a3,a4,a6] |
Generators |
[242:3827:1] |
Generators of the group modulo torsion |
j |
65536/55447 |
j-invariant |
L |
7.0955257714082 |
L(r)(E,1)/r! |
Ω |
0.51980179299293 |
Real period |
R |
3.4126112430164 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999996861 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
62300t1 |
Quadratic twists by: 5 |