Atkin-Lehner |
3- 5+ 11- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
101475bn |
Isogeny class |
Conductor |
101475 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
17280 |
Modular degree for the optimal curve |
Δ |
-24658425 = -1 · 37 · 52 · 11 · 41 |
Discriminant |
Eigenvalues |
-1 3- 5+ 0 11- 3 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,40,-228] |
[a1,a2,a3,a4,a6] |
Generators |
[5:6:1] |
Generators of the group modulo torsion |
j |
397535/1353 |
j-invariant |
L |
4.0193637631837 |
L(r)(E,1)/r! |
Ω |
1.0839513155456 |
Real period |
R |
0.92701667423399 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999724066 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
33825f1 101475cg1 |
Quadratic twists by: -3 5 |