Atkin-Lehner |
2- 11+ 13+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
30316a |
Isogeny class |
Conductor |
30316 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
13632 |
Modular degree for the optimal curve |
Δ |
-1336814336 = -1 · 28 · 11 · 132 · 532 |
Discriminant |
Eigenvalues |
2- -1 -3 -4 11+ 13+ -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-437,4081] |
[a1,a2,a3,a4,a6] |
Generators |
[93:1378:27] [15:26:1] |
Generators of the group modulo torsion |
j |
-36134453248/5221931 |
j-invariant |
L |
5.0452770156369 |
L(r)(E,1)/r! |
Ω |
1.473796361957 |
Real period |
R |
0.2852766923273 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999992 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
121264l1 |
Quadratic twists by: -4 |