Atkin-Lehner |
2+ 3+ 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
73920q |
Isogeny class |
Conductor |
73920 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
442368 |
Modular degree for the optimal curve |
Δ |
21454366703616000 = 222 · 312 · 53 · 7 · 11 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- 11- -2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-75041,3622305] |
[a1,a2,a3,a4,a6] |
Generators |
[214005:8741376:125] |
Generators of the group modulo torsion |
j |
178272935636041/81841914000 |
j-invariant |
L |
5.4445560606504 |
L(r)(E,1)/r! |
Ω |
0.34256244406321 |
Real period |
R |
7.9468081737484 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999993552 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
73920gg1 2310l1 |
Quadratic twists by: -4 8 |