Atkin-Lehner |
2+ 3+ 5+ 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
95370j |
Isogeny class |
Conductor |
95370 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
81920 |
Modular degree for the optimal curve |
Δ |
4150502400 = 210 · 3 · 52 · 11 · 173 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -4 11- -4 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-473,2277] |
[a1,a2,a3,a4,a6] |
Generators |
[-162:591:8] [-14:87:1] |
Generators of the group modulo torsion |
j |
2389979753/844800 |
j-invariant |
L |
5.8648893753605 |
L(r)(E,1)/r! |
Ω |
1.2724807269912 |
Real period |
R |
2.3045100999565 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000001122 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
95370bk1 |
Quadratic twists by: 17 |