Atkin-Lehner |
3- 5+ 19- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
95475l |
Isogeny class |
Conductor |
95475 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
61440 |
Modular degree for the optimal curve |
Δ |
28344140625 = 3 · 58 · 192 · 67 |
Discriminant |
Eigenvalues |
1 3- 5+ 2 0 0 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-2776,-55927] |
[a1,a2,a3,a4,a6] |
Generators |
[50595:983768:125] |
Generators of the group modulo torsion |
j |
151334226289/1814025 |
j-invariant |
L |
10.297980799208 |
L(r)(E,1)/r! |
Ω |
0.65823076869443 |
Real period |
R |
7.8224699239513 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000016455 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
19095b1 |
Quadratic twists by: 5 |