Atkin-Lehner |
2+ 5- 23- |
Signs for the Atkin-Lehner involutions |
Class |
7360m |
Isogeny class |
Conductor |
7360 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
4608 |
Modular degree for the optimal curve |
Δ |
-7786880000 = -1 · 210 · 54 · 233 |
Discriminant |
Eigenvalues |
2+ -1 5- -4 6 1 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-185,4417] |
[a1,a2,a3,a4,a6] |
Generators |
[24:115:1] |
Generators of the group modulo torsion |
j |
-687518464/7604375 |
j-invariant |
L |
3.3108246981381 |
L(r)(E,1)/r! |
Ω |
1.1200448221487 |
Real period |
R |
0.2463312652514 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7360w1 460c1 66240bo1 36800g1 |
Quadratic twists by: -4 8 -3 5 |