Atkin-Lehner |
2- 5+ 7- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
51940c |
Isogeny class |
Conductor |
51940 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
129024 |
Modular degree for the optimal curve |
Δ |
-1955420499200 = -1 · 28 · 52 · 78 · 53 |
Discriminant |
Eigenvalues |
2- 1 5+ 7- 4 3 3 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-67636,-6793340] |
[a1,a2,a3,a4,a6] |
Generators |
[807:21560:1] |
Generators of the group modulo torsion |
j |
-1136150003536/64925 |
j-invariant |
L |
7.3069315062581 |
L(r)(E,1)/r! |
Ω |
0.14802090530606 |
Real period |
R |
4.1136821694006 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999802 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7420d1 |
Quadratic twists by: -7 |