Atkin-Lehner |
3+ 23- 41- |
Signs for the Atkin-Lehner involutions |
Class |
65067l |
Isogeny class |
Conductor |
65067 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
202752 |
Modular degree for the optimal curve |
Δ |
260070782118201 = 34 · 238 · 41 |
Discriminant |
Eigenvalues |
1 3+ 2 -2 -2 -2 0 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-32544,2108835] |
[a1,a2,a3,a4,a6] |
Generators |
[-177210:1621647:1000] |
Generators of the group modulo torsion |
j |
25750777177/1756809 |
j-invariant |
L |
4.8561286737581 |
L(r)(E,1)/r! |
Ω |
0.54198893436187 |
Real period |
R |
4.4799149628726 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000494 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2829d1 |
Quadratic twists by: -23 |