Atkin-Lehner |
5- 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
10115n |
Isogeny class |
Conductor |
10115 |
Conductor |
∏ cp |
132 |
Product of Tamagawa factors cp |
deg |
494208 |
Modular degree for the optimal curve |
Δ |
-6872371330029296875 = -1 · 511 · 73 · 177 |
Discriminant |
Eigenvalues |
-2 -2 5- 7- -2 -1 17+ 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-2888940,1893215556] |
[a1,a2,a3,a4,a6] |
Generators |
[1065:5057:1] |
Generators of the group modulo torsion |
j |
-110470393399988224/284716796875 |
j-invariant |
L |
1.5149709987424 |
L(r)(E,1)/r! |
Ω |
0.23717526919392 |
Real period |
R |
0.04839059763601 |
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 |
91035ba1 50575e1 70805r1 595a1 |
Quadratic twists by: -3 5 -7 17 |