Atkin-Lehner |
3- 7- 37- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
100233n |
Isogeny class |
Conductor |
100233 |
Conductor |
∏ cp |
100 |
Product of Tamagawa factors cp |
deg |
3264000 |
Modular degree for the optimal curve |
Δ |
-1.4138579211625E+19 |
Discriminant |
Eigenvalues |
0 3- -3 7- -5 3 -2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-1376094,647128660] |
[a1,a2,a3,a4,a6] |
Generators |
[-10462:115979:8] [626:-5569:1] |
Generators of the group modulo torsion |
j |
-395312445744596549632/19394484515260659 |
j-invariant |
L |
7.6792901531568 |
L(r)(E,1)/r! |
Ω |
0.22028401562076 |
Real period |
R |
0.34860859659497 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999991808 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
33411d1 |
Quadratic twists by: -3 |