Atkin-Lehner |
2+ 3- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
103488cs |
Isogeny class |
Conductor |
103488 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
15482880 |
Modular degree for the optimal curve |
Δ |
-3.1253358091793E+24 |
Discriminant |
Eigenvalues |
2+ 3- 0 7- 11+ -2 -4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-4707593,-85148674185] |
[a1,a2,a3,a4,a6] |
Generators |
[22711:3394488:1] |
Generators of the group modulo torsion |
j |
-23942656868248000/6485575209206247 |
j-invariant |
L |
7.0236803077333 |
L(r)(E,1)/r! |
Ω |
0.035708161732593 |
Real period |
R |
8.1956990184568 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003172 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
103488bn1 51744ca1 14784n1 |
Quadratic twists by: -4 8 -7 |