Atkin-Lehner |
2+ 3- 5+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
95550dw |
Isogeny class |
Conductor |
95550 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
276480 |
Modular degree for the optimal curve |
Δ |
-3583125000000 = -1 · 26 · 32 · 510 · 72 · 13 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- -3 13+ 5 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-17876,922898] |
[a1,a2,a3,a4,a6] |
Generators |
[57:271:1] |
Generators of the group modulo torsion |
j |
-825056556289/4680000 |
j-invariant |
L |
6.3138323154358 |
L(r)(E,1)/r! |
Ω |
0.79382093817738 |
Real period |
R |
0.99421544583015 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000018628 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
19110cf1 95550i1 |
Quadratic twists by: 5 -7 |