Atkin-Lehner |
2+ 3+ 5- 7- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
42630q |
Isogeny class |
Conductor |
42630 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
25920 |
Modular degree for the optimal curve |
Δ |
-6474431250 = -1 · 2 · 36 · 55 · 72 · 29 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- -2 -3 3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,38,3886] |
[a1,a2,a3,a4,a6] |
Generators |
[7:-71:1] |
Generators of the group modulo torsion |
j |
118822151/132131250 |
j-invariant |
L |
3.4766767489029 |
L(r)(E,1)/r! |
Ω |
1.0450346216514 |
Real period |
R |
0.33268531748782 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000013 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
127890fd1 42630be1 |
Quadratic twists by: -3 -7 |