Atkin-Lehner |
7- 13+ 103+ |
Signs for the Atkin-Lehner involutions |
Class |
121849f |
Isogeny class |
Conductor |
121849 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
594048 |
Modular degree for the optimal curve |
Δ |
-20778463413032689 = -1 · 74 · 138 · 1032 |
Discriminant |
Eigenvalues |
-1 -2 -1 7- 0 13+ -5 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,58724,4258929] |
[a1,a2,a3,a4,a6] |
Generators |
[1535:60157:1] [2886:66639:8] |
Generators of the group modulo torsion |
j |
27455118431/25472209 |
j-invariant |
L |
4.7049451968843 |
L(r)(E,1)/r! |
Ω |
0.25095242085932 |
Real period |
R |
0.78118147849205 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000002319 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
121849b1 |
Quadratic twists by: 13 |