Atkin-Lehner |
2- 3+ 5+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
7380a |
Isogeny class |
Conductor |
7380 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
14400 |
Modular degree for the optimal curve |
Δ |
-7084800 = -1 · 28 · 33 · 52 · 41 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 2 -3 -4 3 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-110688,14174212] |
[a1,a2,a3,a4,a6] |
j |
-21698094866890752/1025 |
j-invariant |
L |
1.7042721010516 |
L(r)(E,1)/r! |
Ω |
1.2782040757887 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
29520w1 118080k1 7380d2 36900b1 |
Quadratic twists by: -4 8 -3 5 |