Atkin-Lehner |
2+ 3- 5+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
115320h |
Isogeny class |
Conductor |
115320 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
105600 |
Modular degree for the optimal curve |
Δ |
10638961920 = 28 · 32 · 5 · 314 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 -3 4 -8 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1281,16515] |
[a1,a2,a3,a4,a6] |
Generators |
[-21:186:1] [14:39:1] |
Generators of the group modulo torsion |
j |
984064/45 |
j-invariant |
L |
13.322506821244 |
L(r)(E,1)/r! |
Ω |
1.2682123129669 |
Real period |
R |
0.4377062461091 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000001929 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
115320b1 |
Quadratic twists by: -31 |