Atkin-Lehner |
2- 3+ 5+ 13+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
118950bf |
Isogeny class |
Conductor |
118950 |
Conductor |
∏ cp |
27 |
Product of Tamagawa factors cp |
deg |
326592 |
Modular degree for the optimal curve |
Δ |
-1019780236800 = -1 · 29 · 33 · 52 · 13 · 613 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -5 3 13+ 3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-4453,122411] |
[a1,a2,a3,a4,a6] |
Generators |
[-41:508:1] |
Generators of the group modulo torsion |
j |
-390614071578745/40791209472 |
j-invariant |
L |
6.3725546226488 |
L(r)(E,1)/r! |
Ω |
0.85441847128818 |
Real period |
R |
0.27623529470379 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000142485 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
118950bd1 |
Quadratic twists by: 5 |