Atkin-Lehner |
2- 3- 29+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
30798r |
Isogeny class |
Conductor |
30798 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
17280 |
Modular degree for the optimal curve |
Δ |
-1077683616 = -1 · 25 · 39 · 29 · 59 |
Discriminant |
Eigenvalues |
2- 3- -3 -2 -2 -2 1 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,256,-61] |
[a1,a2,a3,a4,a6] |
Generators |
[1:13:1] [9:-59:1] |
Generators of the group modulo torsion |
j |
2554497863/1478304 |
j-invariant |
L |
9.8984547191356 |
L(r)(E,1)/r! |
Ω |
0.92701315985608 |
Real period |
R |
0.53388965484986 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999988 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10266c1 |
Quadratic twists by: -3 |