Atkin-Lehner |
2- 5- 7- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
42140c |
Isogeny class |
Conductor |
42140 |
Conductor |
∏ cp |
120 |
Product of Tamagawa factors cp |
deg |
149760 |
Modular degree for the optimal curve |
Δ |
-1218184805600000 = -1 · 28 · 55 · 77 · 432 |
Discriminant |
Eigenvalues |
2- -1 5- 7- -5 -1 -7 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-30445,2656025] |
[a1,a2,a3,a4,a6] |
Generators |
[-205:490:1] [-128:2107:1] |
Generators of the group modulo torsion |
j |
-103623368704/40446875 |
j-invariant |
L |
7.7776890262814 |
L(r)(E,1)/r! |
Ω |
0.45628805448889 |
Real period |
R |
0.14204639937728 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6020a1 |
Quadratic twists by: -7 |