Atkin-Lehner |
2+ 3+ 5- 29- |
Signs for the Atkin-Lehner involutions |
Class |
4350i |
Isogeny class |
Conductor |
4350 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
4032 |
Modular degree for the optimal curve |
Δ |
-951345000 = -1 · 23 · 38 · 54 · 29 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 4 -2 0 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-3900,-95400] |
[a1,a2,a3,a4,a6] |
Generators |
[75:165:1] |
Generators of the group modulo torsion |
j |
-10500536779225/1522152 |
j-invariant |
L |
2.6163147668872 |
L(r)(E,1)/r! |
Ω |
0.30205437575711 |
Real period |
R |
1.4436223943285 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
34800dw1 13050bs1 4350w1 126150dh1 |
Quadratic twists by: -4 -3 5 29 |