Atkin-Lehner |
2+ 3+ 7- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
95424l |
Isogeny class |
Conductor |
95424 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
165888 |
Modular degree for the optimal curve |
Δ |
-1378942451712 = -1 · 221 · 33 · 73 · 71 |
Discriminant |
Eigenvalues |
2+ 3+ 0 7- -6 4 -6 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-673,57121] |
[a1,a2,a3,a4,a6] |
Generators |
[57:448:1] [0:239:1] |
Generators of the group modulo torsion |
j |
-128787625/5260248 |
j-invariant |
L |
9.7320162726352 |
L(r)(E,1)/r! |
Ω |
0.71075344997365 |
Real period |
R |
1.1410445578743 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999996315 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
95424cd1 2982e1 |
Quadratic twists by: -4 8 |