Atkin-Lehner |
2- 3+ 5+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
80400bw |
Isogeny class |
Conductor |
80400 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
7539840 |
Modular degree for the optimal curve |
Δ |
-6.222695104512E+22 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 0 1 -7 -8 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-4195208,12450588912] |
[a1,a2,a3,a4,a6] |
Generators |
[2219668:3306981376:1] |
Generators of the group modulo torsion |
j |
-204138217783825/1555673776128 |
j-invariant |
L |
3.9063706258737 |
L(r)(E,1)/r! |
Ω |
0.094987573756191 |
Real period |
R |
10.28126751559 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000247 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10050i1 80400dj1 |
Quadratic twists by: -4 5 |