Atkin-Lehner |
2- 3+ 5- 13+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
116610cb |
Isogeny class |
Conductor |
116610 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
1226880 |
Modular degree for the optimal curve |
Δ |
-33502724519091750 = -1 · 2 · 36 · 53 · 134 · 235 |
Discriminant |
Eigenvalues |
2- 3+ 5- -3 -4 13+ 5 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,76300,3459035] |
[a1,a2,a3,a4,a6] |
Generators |
[12372:316837:64] |
Generators of the group modulo torsion |
j |
1719980649806159/1173023511750 |
j-invariant |
L |
8.4710026532291 |
L(r)(E,1)/r! |
Ω |
0.23229280567557 |
Real period |
R |
6.0778196190634 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000002717 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
116610d1 |
Quadratic twists by: 13 |