Atkin-Lehner |
2+ 3- 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
7920i |
Isogeny class |
Conductor |
7920 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
24576 |
Modular degree for the optimal curve |
Δ |
1729072818000 = 24 · 310 · 53 · 114 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 4 11- -6 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-30738,2073287] |
[a1,a2,a3,a4,a6] |
Generators |
[59:682:1] |
Generators of the group modulo torsion |
j |
275361373935616/148240125 |
j-invariant |
L |
4.4600587697434 |
L(r)(E,1)/r! |
Ω |
0.82834713388915 |
Real period |
R |
2.6921435393898 |
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 |
3960c1 31680dq1 2640e1 39600bh1 |
Quadratic twists by: -4 8 -3 5 |