Atkin-Lehner |
2+ 3+ 7- 19+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
128478l |
Isogeny class |
Conductor |
128478 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
4300800 |
Modular degree for the optimal curve |
Δ |
-1.8434736029107E+20 |
Discriminant |
Eigenvalues |
2+ 3+ 1 7- 0 -1 4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,816903,588530853] |
[a1,a2,a3,a4,a6] |
Generators |
[198134:31104329:8] |
Generators of the group modulo torsion |
j |
512443648078726391/1566926708183424 |
j-invariant |
L |
4.2645459878031 |
L(r)(E,1)/r! |
Ω |
0.12679796539561 |
Real period |
R |
4.2040756085441 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000280315 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
18354m1 |
Quadratic twists by: -7 |