Atkin-Lehner |
2- 3+ 29+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
43152m |
Isogeny class |
Conductor |
43152 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
345600 |
Modular degree for the optimal curve |
Δ |
222654841749504 = 222 · 310 · 29 · 31 |
Discriminant |
Eigenvalues |
2- 3+ 1 2 -2 -6 3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-379440,-89833536] |
[a1,a2,a3,a4,a6] |
j |
1475007551187050161/54359092224 |
j-invariant |
L |
0.76943977551113 |
L(r)(E,1)/r! |
Ω |
0.19235994389108 |
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 |
5394j1 129456bs1 |
Quadratic twists by: -4 -3 |