Atkin-Lehner |
2+ 3- 7+ 11- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
127512l |
Isogeny class |
Conductor |
127512 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
62899200 |
Modular degree for the optimal curve |
Δ |
-2.1170298490338E+25 |
Discriminant |
Eigenvalues |
2+ 3- -4 7+ 11- -5 -5 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-531227667,-4717889345090] |
[a1,a2,a3,a4,a6] |
Generators |
[273059290827589100914382187438141:892946606159455781510802758812535812:25533942314010744183617627] |
Generators of the group modulo torsion |
j |
-22209474551934263403281476/28359560520535708233 |
j-invariant |
L |
3.4053299588102 |
L(r)(E,1)/r! |
Ω |
0.015722302253616 |
Real period |
R |
54.148080603573 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
42504u1 |
Quadratic twists by: -3 |