Atkin-Lehner |
2+ 3+ 5- 13- 103+ |
Signs for the Atkin-Lehner involutions |
Class |
120510b |
Isogeny class |
Conductor |
120510 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
93696 |
Modular degree for the optimal curve |
Δ |
-1588562820 = -1 · 22 · 33 · 5 · 134 · 103 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 1 6 13- 3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1614,-24632] |
[a1,a2,a3,a4,a6] |
Generators |
[74:-544:1] |
Generators of the group modulo torsion |
j |
-17227485284283/58835660 |
j-invariant |
L |
6.7079788742204 |
L(r)(E,1)/r! |
Ω |
0.37652365265387 |
Real period |
R |
1.1134723573156 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000012718 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
120510u1 |
Quadratic twists by: -3 |