Atkin-Lehner |
2- 5+ 7+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
32830i |
Isogeny class |
Conductor |
32830 |
Conductor |
∏ cp |
30 |
Product of Tamagawa factors cp |
deg |
423360 |
Modular degree for the optimal curve |
Δ |
-64695479222500000 = -1 · 25 · 57 · 78 · 672 |
Discriminant |
Eigenvalues |
2- 2 5+ 7+ 1 -5 2 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-371176,-88050551] |
[a1,a2,a3,a4,a6] |
Generators |
[27147:623315:27] |
Generators of the group modulo torsion |
j |
-981022858611649/11222500000 |
j-invariant |
L |
11.256902544006 |
L(r)(E,1)/r! |
Ω |
0.096644830202907 |
Real period |
R |
3.8825675828949 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
32830q1 |
Quadratic twists by: -7 |