Atkin-Lehner |
3+ 5- 7+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
30975m |
Isogeny class |
Conductor |
30975 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
111956950200375 = 37 · 53 · 76 · 592 |
Discriminant |
Eigenvalues |
-1 3+ 5- 7+ 4 -4 6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-60428,5669606] |
[a1,a2,a3,a4,a6] |
Generators |
[-280:997:1] |
Generators of the group modulo torsion |
j |
195222023474235029/895655601603 |
j-invariant |
L |
2.7678415707358 |
L(r)(E,1)/r! |
Ω |
0.59570991342333 |
Real period |
R |
2.32314546759 |
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 |
92925y2 30975bc2 |
Quadratic twists by: -3 5 |