Atkin-Lehner |
2+ 3+ 7- 11+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
119658i |
Isogeny class |
Conductor |
119658 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
4561920 |
Modular degree for the optimal curve |
Δ |
2.7498031011386E+19 |
Discriminant |
Eigenvalues |
2+ 3+ 0 7- 11+ -4 -2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-1810330,-903698732] |
[a1,a2,a3,a4,a6] |
Generators |
[18921:2586515:1] |
Generators of the group modulo torsion |
j |
5577108481460841625/233729407061568 |
j-invariant |
L |
3.7476342059611 |
L(r)(E,1)/r! |
Ω |
0.13049152675511 |
Real period |
R |
7.1798421184845 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999102218 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2442f1 |
Quadratic twists by: -7 |