Atkin-Lehner |
2+ 3+ 5+ 31+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
114390a |
Isogeny class |
Conductor |
114390 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
76160 |
Modular degree for the optimal curve |
Δ |
-900478080 = -1 · 27 · 33 · 5 · 31 · 412 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -1 -3 6 0 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1245,17285] |
[a1,a2,a3,a4,a6] |
Generators |
[23:9:1] |
Generators of the group modulo torsion |
j |
-7907955283467/33351040 |
j-invariant |
L |
4.8575792951678 |
L(r)(E,1)/r! |
Ω |
1.5830757624604 |
Real period |
R |
0.76711099062879 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000061022 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
114390s1 |
Quadratic twists by: -3 |