Atkin-Lehner |
2+ 3- 5+ 19+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
116850y |
Isogeny class |
Conductor |
116850 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
69888 |
Modular degree for the optimal curve |
Δ |
-426268800 = -1 · 27 · 32 · 52 · 192 · 41 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -3 0 -7 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,74,968] |
[a1,a2,a3,a4,a6] |
Generators |
[-2:29:1] [16:71:1] |
Generators of the group modulo torsion |
j |
1827629375/17050752 |
j-invariant |
L |
9.4512262843987 |
L(r)(E,1)/r! |
Ω |
1.2296193143417 |
Real period |
R |
1.9215756818891 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999944117 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
116850bz1 |
Quadratic twists by: 5 |