Atkin-Lehner |
2- 3+ 5- 13+ 79+ |
Signs for the Atkin-Lehner involutions |
Class |
30810bb |
Isogeny class |
Conductor |
30810 |
Conductor |
∏ cp |
144 |
Product of Tamagawa factors cp |
deg |
46080 |
Modular degree for the optimal curve |
Δ |
-787474022400 = -1 · 218 · 32 · 52 · 132 · 79 |
Discriminant |
Eigenvalues |
2- 3+ 5- 2 0 13+ -4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,1650,-33333] |
[a1,a2,a3,a4,a6] |
Generators |
[25:143:1] |
Generators of the group modulo torsion |
j |
496774270317599/787474022400 |
j-invariant |
L |
8.0868065502705 |
L(r)(E,1)/r! |
Ω |
0.47274652784395 |
Real period |
R |
0.47516692784562 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
92430h1 |
Quadratic twists by: -3 |