Atkin-Lehner |
2+ 3+ 5+ 7- 29- |
Signs for the Atkin-Lehner involutions |
Class |
18270c |
Isogeny class |
Conductor |
18270 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
20736 |
Modular degree for the optimal curve |
Δ |
460952100 = 22 · 33 · 52 · 7 · 293 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- 0 2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-10680,427500] |
[a1,a2,a3,a4,a6] |
Generators |
[6:600:1] |
Generators of the group modulo torsion |
j |
4989954429855387/17072300 |
j-invariant |
L |
3.2935511663825 |
L(r)(E,1)/r! |
Ω |
1.4569978994477 |
Real period |
R |
3.3907576335192 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
6 |
Number of elements in the torsion subgroup |
Twists |
18270bi3 91350dc1 127890w1 |
Quadratic twists by: -3 5 -7 |