Atkin-Lehner |
3- 5- 19+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
104025r |
Isogeny class |
Conductor |
104025 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
138240 |
Modular degree for the optimal curve |
Δ |
-5687566875 = -1 · 38 · 54 · 19 · 73 |
Discriminant |
Eigenvalues |
-2 3- 5- -2 -2 2 -8 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-1408,20194] |
[a1,a2,a3,a4,a6] |
Generators |
[-43:55:1] [23:22:1] |
Generators of the group modulo torsion |
j |
-494265241600/9100107 |
j-invariant |
L |
6.740138453429 |
L(r)(E,1)/r! |
Ω |
1.3524955221033 |
Real period |
R |
0.20764512527613 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000003691 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
104025b1 |
Quadratic twists by: 5 |