Atkin-Lehner |
3- 5- 11+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
101475ca |
Isogeny class |
Conductor |
101475 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
404352 |
Modular degree for the optimal curve |
Δ |
-327612451010625 = -1 · 319 · 54 · 11 · 41 |
Discriminant |
Eigenvalues |
1 3- 5- -4 11+ 5 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-6642,-893759] |
[a1,a2,a3,a4,a6] |
Generators |
[1894:25297:8] |
Generators of the group modulo torsion |
j |
-71129467825/719039673 |
j-invariant |
L |
6.7240575100922 |
L(r)(E,1)/r! |
Ω |
0.22996251859802 |
Real period |
R |
2.4366498097741 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999757997 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
33825m1 101475bf1 |
Quadratic twists by: -3 5 |