Atkin-Lehner |
2+ 3+ 5+ 13- 79+ |
Signs for the Atkin-Lehner involutions |
Class |
30810d |
Isogeny class |
Conductor |
30810 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
21898977750000 = 24 · 38 · 56 · 132 · 79 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 0 -2 13- 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-9483,-279027] |
[a1,a2,a3,a4,a6] |
Generators |
[-74:193:1] [-57:312:1] |
Generators of the group modulo torsion |
j |
94326239308694329/21898977750000 |
j-invariant |
L |
5.2643354651475 |
L(r)(E,1)/r! |
Ω |
0.49188682120097 |
Real period |
R |
2.6755826941523 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999995 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
92430bu2 |
Quadratic twists by: -3 |