Atkin-Lehner |
2- 5- 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
95200bj |
Isogeny class |
Conductor |
95200 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
473600 |
Modular degree for the optimal curve |
Δ |
-2285752000000000 = -1 · 212 · 59 · 75 · 17 |
Discriminant |
Eigenvalues |
2- -2 5- 7- -2 3 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,23667,1831963] |
[a1,a2,a3,a4,a6] |
Generators |
[-63:308:1] [-42:875:1] |
Generators of the group modulo torsion |
j |
183250432/285719 |
j-invariant |
L |
8.3718628216301 |
L(r)(E,1)/r! |
Ω |
0.31383350274479 |
Real period |
R |
1.3338064210186 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999997551 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
95200be1 95200o1 |
Quadratic twists by: -4 5 |