Atkin-Lehner |
5+ 11+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
75295f |
Isogeny class |
Conductor |
75295 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
689472 |
Modular degree for the optimal curve |
Δ |
-7147895688729235 = -1 · 5 · 11 · 379 |
Discriminant |
Eigenvalues |
2 0 5+ 3 11+ -2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-64343,-7483981] |
[a1,a2,a3,a4,a6] |
Generators |
[11370830109597266:18579622044548613:37885659434056] |
Generators of the group modulo torsion |
j |
-11481993216/2785915 |
j-invariant |
L |
12.217375027461 |
L(r)(E,1)/r! |
Ω |
0.14798441766014 |
Real period |
R |
20.639630882488 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2035d1 |
Quadratic twists by: 37 |