Atkin-Lehner |
2- 3+ 5- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
92400fr |
Isogeny class |
Conductor |
92400 |
Conductor |
∏ cp |
84 |
Product of Tamagawa factors cp |
deg |
419328 |
Modular degree for the optimal curve |
Δ |
117404290080000 = 28 · 34 · 54 · 77 · 11 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- 11- 3 3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-147533,21854337] |
[a1,a2,a3,a4,a6] |
Generators |
[197:-630:1] |
Generators of the group modulo torsion |
j |
2219597331865600/733776813 |
j-invariant |
L |
6.5191433743983 |
L(r)(E,1)/r! |
Ω |
0.57854466713333 |
Real period |
R |
0.13414495751853 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999871205 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
23100bd1 92400gp1 |
Quadratic twists by: -4 5 |