Atkin-Lehner |
2+ 3- 5+ 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
73920ch |
Isogeny class |
Conductor |
73920 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
49152 |
Modular degree for the optimal curve |
Δ |
-19472302080 = -1 · 214 · 32 · 5 · 74 · 11 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ 11- -2 -2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,399,-5841] |
[a1,a2,a3,a4,a6] |
Generators |
[75:672:1] |
Generators of the group modulo torsion |
j |
427694384/1188495 |
j-invariant |
L |
6.3674913058775 |
L(r)(E,1)/r! |
Ω |
0.62659987397505 |
Real period |
R |
2.5404933719024 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999987493 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
73920er1 9240d1 |
Quadratic twists by: -4 8 |