Atkin-Lehner |
2+ 3+ 5- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
15210g |
Isogeny class |
Conductor |
15210 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
27456 |
Modular degree for the optimal curve |
Δ |
-220247294670 = -1 · 2 · 33 · 5 · 138 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -4 5 13+ -2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,1236,-15482] |
[a1,a2,a3,a4,a6] |
j |
9477/10 |
j-invariant |
L |
1.0792842404922 |
L(r)(E,1)/r! |
Ω |
0.5396421202461 |
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 |
121680cy1 15210bc1 76050do1 15210bb1 |
Quadratic twists by: -4 -3 5 13 |