Atkin-Lehner |
3+ 5- 7+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
30975n |
Isogeny class |
Conductor |
30975 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
2540160 |
Modular degree for the optimal curve |
Δ |
-3.7073481728528E+22 |
Discriminant |
Eigenvalues |
-1 3+ 5- 7+ -5 -4 -3 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-15565603,-25394239894] |
[a1,a2,a3,a4,a6] |
Generators |
[2718280:103130799:512] |
Generators of the group modulo torsion |
j |
-3336656885364296609696069/296587853828223807717 |
j-invariant |
L |
1.7762441051819 |
L(r)(E,1)/r! |
Ω |
0.03781221877719 |
Real period |
R |
11.743850021394 |
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 |
92925z1 30975bd1 |
Quadratic twists by: -3 5 |