Atkin-Lehner |
2+ 3+ 5+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
10950b |
Isogeny class |
Conductor |
10950 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
41472 |
Modular degree for the optimal curve |
Δ |
217976832000000 = 218 · 36 · 56 · 73 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -2 0 4 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-23450,-1195500] |
[a1,a2,a3,a4,a6] |
Generators |
[-109:338:1] |
Generators of the group modulo torsion |
j |
91276959390625/13950517248 |
j-invariant |
L |
2.4754967030169 |
L(r)(E,1)/r! |
Ω |
0.38976004227035 |
Real period |
R |
3.1756676346261 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
87600cb1 32850bm1 438a1 |
Quadratic twists by: -4 -3 5 |