Atkin-Lehner |
2- 5- 7- 53- |
Signs for the Atkin-Lehner involutions |
Class |
129850dj |
Isogeny class |
Conductor |
129850 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
635040 |
Modular degree for the optimal curve |
Δ |
-5122894789250 = -1 · 2 · 53 · 72 · 535 |
Discriminant |
Eigenvalues |
2- 3 5- 7- 5 2 2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-2400,-117323] |
[a1,a2,a3,a4,a6] |
Generators |
[12530106:62448625:157464] |
Generators of the group modulo torsion |
j |
-249506398197/836390986 |
j-invariant |
L |
22.454792191007 |
L(r)(E,1)/r! |
Ω |
0.31373766041383 |
Real period |
R |
7.1571873580761 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000009951 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
129850ba1 129850dc1 |
Quadratic twists by: 5 -7 |