Atkin-Lehner |
2+ 37- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
4514b |
Isogeny class |
Conductor |
4514 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
14400 |
Modular degree for the optimal curve |
Δ |
-270718808128 = -1 · 26 · 375 · 61 |
Discriminant |
Eigenvalues |
2+ -2 -4 0 -3 2 -5 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-10373,406512] |
[a1,a2,a3,a4,a6] |
Generators |
[-117:206:1] [-20:788:1] |
Generators of the group modulo torsion |
j |
-123417475726848841/270718808128 |
j-invariant |
L |
2.2705760297924 |
L(r)(E,1)/r! |
Ω |
0.98104820226701 |
Real period |
R |
0.23144388059095 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.9999999999991 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
36112i1 40626q1 112850k1 |
Quadratic twists by: -4 -3 5 |