Atkin-Lehner |
2+ 5+ 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
41650t |
Isogeny class |
Conductor |
41650 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
276480 |
Modular degree for the optimal curve |
Δ |
-245004042500000 = -1 · 25 · 57 · 78 · 17 |
Discriminant |
Eigenvalues |
2+ -3 5+ 7- 2 -1 17- -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,15083,238741] |
[a1,a2,a3,a4,a6] |
Generators |
[9:608:1] |
Generators of the group modulo torsion |
j |
206425071/133280 |
j-invariant |
L |
2.6366337668796 |
L(r)(E,1)/r! |
Ω |
0.34650171779262 |
Real period |
R |
0.95116186712872 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000031 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8330w1 5950d1 |
Quadratic twists by: 5 -7 |