Atkin-Lehner |
2+ 3+ 5- 101- |
Signs for the Atkin-Lehner involutions |
Class |
15150i |
Isogeny class |
Conductor |
15150 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
8160 |
Modular degree for the optimal curve |
Δ |
193920000 = 210 · 3 · 54 · 101 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -3 4 -6 0 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-150,-300] |
[a1,a2,a3,a4,a6] |
Generators |
[-4:18:1] |
Generators of the group modulo torsion |
j |
603439225/310272 |
j-invariant |
L |
2.3292684085387 |
L(r)(E,1)/r! |
Ω |
1.4407230287195 |
Real period |
R |
0.8083678688085 |
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 |
121200ed1 45450cj1 15150bo1 |
Quadratic twists by: -4 -3 5 |