Atkin-Lehner |
2+ 3+ 5+ 11+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
105270d |
Isogeny class |
Conductor |
105270 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
691200 |
Modular degree for the optimal curve |
Δ |
-248952952258560 = -1 · 216 · 39 · 5 · 113 · 29 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 2 11+ 7 3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-21518,1423668] |
[a1,a2,a3,a4,a6] |
j |
-827909567651699/187042037760 |
j-invariant |
L |
2.1184466909131 |
L(r)(E,1)/r! |
Ω |
0.52961167959618 |
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 |
105270bg1 |
Quadratic twists by: -11 |