Atkin-Lehner |
3+ 5- 11+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
101475u |
Isogeny class |
Conductor |
101475 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
43776 |
Modular degree for the optimal curve |
Δ |
-83716875 = -1 · 33 · 54 · 112 · 41 |
Discriminant |
Eigenvalues |
-2 3+ 5- -2 11+ 0 3 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-75,506] |
[a1,a2,a3,a4,a6] |
Generators |
[-5:27:1] [-78:137:8] |
Generators of the group modulo torsion |
j |
-2764800/4961 |
j-invariant |
L |
5.5417457381387 |
L(r)(E,1)/r! |
Ω |
1.7156348376505 |
Real period |
R |
0.26917857740807 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999977134 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
101475ba1 101475e1 |
Quadratic twists by: -3 5 |