Atkin-Lehner |
2+ 5- 7- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
115150y |
Isogeny class |
Conductor |
115150 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
345600 |
Modular degree for the optimal curve |
Δ |
-203036438281250 = -1 · 2 · 58 · 76 · 472 |
Discriminant |
Eigenvalues |
2+ 1 5- 7- 1 -4 3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,14674,-41702] |
[a1,a2,a3,a4,a6] |
Generators |
[1704:-29653:27] |
Generators of the group modulo torsion |
j |
7604375/4418 |
j-invariant |
L |
4.9723737493669 |
L(r)(E,1)/r! |
Ω |
0.33403597055622 |
Real period |
R |
1.2404786165048 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000011958 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
115150ck1 2350h1 |
Quadratic twists by: 5 -7 |