Atkin-Lehner |
2+ 3+ 5+ 7- 29- |
Signs for the Atkin-Lehner involutions |
Class |
42630h |
Isogeny class |
Conductor |
42630 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
98304 |
Modular degree for the optimal curve |
Δ |
10061869547520 = 216 · 32 · 5 · 76 · 29 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- 0 2 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-5513,36933] |
[a1,a2,a3,a4,a6] |
Generators |
[-29:431:1] |
Generators of the group modulo torsion |
j |
157551496201/85524480 |
j-invariant |
L |
3.2348601049252 |
L(r)(E,1)/r! |
Ω |
0.63172698750515 |
Real period |
R |
2.5603307828455 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999934 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
127890fs1 870d1 |
Quadratic twists by: -3 -7 |