Atkin-Lehner |
2- 3+ 5+ 11+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
61050bm |
Isogeny class |
Conductor |
61050 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
deg |
221184 |
Modular degree for the optimal curve |
Δ |
7252740000000 = 28 · 34 · 57 · 112 · 37 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -2 11+ -6 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-6338,142031] |
[a1,a2,a3,a4,a6] |
Generators |
[-85:317:1] [-75:487:1] |
Generators of the group modulo torsion |
j |
1802041022809/464175360 |
j-invariant |
L |
11.853969725239 |
L(r)(E,1)/r! |
Ω |
0.69685002880398 |
Real period |
R |
0.53158719753396 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12210n1 |
Quadratic twists by: 5 |