Atkin-Lehner |
2- 3- 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
92400hi |
Isogeny class |
Conductor |
92400 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
1327104 |
Modular degree for the optimal curve |
Δ |
5237882496000000000 = 216 · 312 · 59 · 7 · 11 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 11- -2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-469008,-56364012] |
[a1,a2,a3,a4,a6] |
Generators |
[-612:1350:1] |
Generators of the group modulo torsion |
j |
178272935636041/81841914000 |
j-invariant |
L |
8.8149945749592 |
L(r)(E,1)/r! |
Ω |
0.19058702323742 |
Real period |
R |
1.927158701094 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000012952 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11550bl1 18480cc1 |
Quadratic twists by: -4 5 |