Atkin-Lehner |
2+ 3- 5- 31+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
114390n |
Isogeny class |
Conductor |
114390 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
368640 |
Modular degree for the optimal curve |
Δ |
-59357685937500 = -1 · 22 · 36 · 58 · 31 · 412 |
Discriminant |
Eigenvalues |
2+ 3- 5- 0 -2 -4 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,6021,-325647] |
[a1,a2,a3,a4,a6] |
Generators |
[52:329:1] [87:-966:1] |
Generators of the group modulo torsion |
j |
33110176183631/81423437500 |
j-invariant |
L |
9.2781043304489 |
L(r)(E,1)/r! |
Ω |
0.32276329934238 |
Real period |
R |
1.7966154200551 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.000000000046 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12710l1 |
Quadratic twists by: -3 |