Atkin-Lehner |
3- 7+ 29+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
111447c |
Isogeny class |
Conductor |
111447 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1382400 |
Modular degree for the optimal curve |
Δ |
-381386672087905701 = -1 · 36 · 78 · 293 · 612 |
Discriminant |
Eigenvalues |
-1 3- -3 7+ 5 1 0 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,64741,-29044416] |
[a1,a2,a3,a4,a6] |
Generators |
[2298:109535:1] |
Generators of the group modulo torsion |
j |
41166190800554903/523164159242669 |
j-invariant |
L |
3.4052270644039 |
L(r)(E,1)/r! |
Ω |
0.14766921478583 |
Real period |
R |
5.7649576900576 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999998911865 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12383a1 |
Quadratic twists by: -3 |