Atkin-Lehner |
2- 3+ 5- 7- 61- |
Signs for the Atkin-Lehner involutions |
Class |
89670bp |
Isogeny class |
Conductor |
89670 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
129024 |
Modular degree for the optimal curve |
Δ |
-372034373760 = -1 · 27 · 34 · 5 · 76 · 61 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- -2 -1 3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,930,-26853] |
[a1,a2,a3,a4,a6] |
Generators |
[55:-469:1] |
Generators of the group modulo torsion |
j |
756058031/3162240 |
j-invariant |
L |
9.694952461284 |
L(r)(E,1)/r! |
Ω |
0.48261245587646 |
Real period |
R |
0.71744584673642 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003954 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1830j1 |
Quadratic twists by: -7 |