Atkin-Lehner |
2- 3+ 7- 17- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
41412c |
Isogeny class |
Conductor |
41412 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
10944 |
Modular degree for the optimal curve |
Δ |
139309968 = 24 · 3 · 7 · 17 · 293 |
Discriminant |
Eigenvalues |
2- 3+ 0 7- 2 0 17- 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-378,2901] |
[a1,a2,a3,a4,a6] |
j |
374306656000/8706873 |
j-invariant |
L |
1.8376498994118 |
L(r)(E,1)/r! |
Ω |
1.8376498994348 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
124236s1 |
Quadratic twists by: -3 |