Atkin-Lehner |
3+ 5- 7+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
30975m |
Isogeny class |
Conductor |
30975 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
72576 |
Modular degree for the optimal curve |
Δ |
12099117956625 = 314 · 53 · 73 · 59 |
Discriminant |
Eigenvalues |
-1 3+ 5- 7+ 4 -4 6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-5753,-16594] |
[a1,a2,a3,a4,a6] |
Generators |
[-74:140:1] |
Generators of the group modulo torsion |
j |
168461839773989/96792943653 |
j-invariant |
L |
2.7678415707358 |
L(r)(E,1)/r! |
Ω |
0.59570991342333 |
Real period |
R |
4.6462909351799 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
92925y1 30975bc1 |
Quadratic twists by: -3 5 |