Atkin-Lehner |
3+ 5+ 7+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
32025a |
Isogeny class |
Conductor |
32025 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
410400 |
Modular degree for the optimal curve |
Δ |
-916220776201171875 = -1 · 310 · 510 · 7 · 613 |
Discriminant |
Eigenvalues |
-1 3+ 5+ 7+ 0 -6 -5 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,201237,30309156] |
[a1,a2,a3,a4,a6] |
Generators |
[2509:126563:1] |
Generators of the group modulo torsion |
j |
92288383034375/93821007483 |
j-invariant |
L |
1.9121706239386 |
L(r)(E,1)/r! |
Ω |
0.18457762121475 |
Real period |
R |
5.1798549882535 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
96075q1 32025bf1 |
Quadratic twists by: -3 5 |