Atkin-Lehner |
3- 5- 11+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
101475bx |
Isogeny class |
Conductor |
101475 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
4700160 |
Modular degree for the optimal curve |
Δ |
-1.9164595300705E+21 |
Discriminant |
Eigenvalues |
0 3- 5- 3 11+ 3 2 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-11370000,-14906240469] |
[a1,a2,a3,a4,a6] |
Generators |
[833245:56665607:125] |
Generators of the group modulo torsion |
j |
-570844134768640000/6729953905323 |
j-invariant |
L |
6.1808553684088 |
L(r)(E,1)/r! |
Ω |
0.041079438974526 |
Real period |
R |
6.2692102521953 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000014632 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
33825bb1 101475bd1 |
Quadratic twists by: -3 5 |