Atkin-Lehner |
2- 5+ 7- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
115150bu |
Isogeny class |
Conductor |
115150 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
2903040 |
Modular degree for the optimal curve |
Δ |
2764751500000000 = 28 · 59 · 76 · 47 |
Discriminant |
Eigenvalues |
2- 1 5+ 7- 3 5 6 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-7071338,-7238287708] |
[a1,a2,a3,a4,a6] |
Generators |
[-3373396:1731198:2197] |
Generators of the group modulo torsion |
j |
21272583599722441/1504000 |
j-invariant |
L |
14.789283685603 |
L(r)(E,1)/r! |
Ω |
0.092581488100911 |
Real period |
R |
4.9919819068972 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000035955 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
23030f1 2350l1 |
Quadratic twists by: 5 -7 |