Atkin-Lehner |
3+ 5+ 11- 41- |
Signs for the Atkin-Lehner involutions |
Class |
101475o |
Isogeny class |
Conductor |
101475 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
656640 |
Modular degree for the optimal curve |
Δ |
-953587529296875 = -1 · 39 · 510 · 112 · 41 |
Discriminant |
Eigenvalues |
-2 3+ 5+ 2 11- 0 3 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-16875,-1708594] |
[a1,a2,a3,a4,a6] |
Generators |
[216:2173:1] |
Generators of the group modulo torsion |
j |
-2764800/4961 |
j-invariant |
L |
3.2184928689083 |
L(r)(E,1)/r! |
Ω |
0.19758324219318 |
Real period |
R |
4.0723251573461 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000116499 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
101475e1 101475ba1 |
Quadratic twists by: -3 5 |