Atkin-Lehner |
2+ 3- 5- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
15210s |
Isogeny class |
Conductor |
15210 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
107520 |
Modular degree for the optimal curve |
Δ |
-3513113770982400 = -1 · 210 · 37 · 52 · 137 |
Discriminant |
Eigenvalues |
2+ 3- 5- 2 4 13+ -4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-79884,9166288] |
[a1,a2,a3,a4,a6] |
Generators |
[152:644:1] |
Generators of the group modulo torsion |
j |
-16022066761/998400 |
j-invariant |
L |
4.3802993200181 |
L(r)(E,1)/r! |
Ω |
0.43808911868372 |
Real period |
R |
1.2498311225976 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
121680ez1 5070m1 76050eq1 1170j1 |
Quadratic twists by: -4 -3 5 13 |