Atkin-Lehner |
2- 11+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
10736f |
Isogeny class |
Conductor |
10736 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
76800 |
Modular degree for the optimal curve |
Δ |
92221537779712 = 237 · 11 · 61 |
Discriminant |
Eigenvalues |
2- 1 -4 2 11+ -1 3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-223360,-40702796] |
[a1,a2,a3,a4,a6] |
Generators |
[-1880316:298774:6859] |
Generators of the group modulo torsion |
j |
300872095888141441/22515023872 |
j-invariant |
L |
4.0356135254309 |
L(r)(E,1)/r! |
Ω |
0.21960892824475 |
Real period |
R |
9.1881818232208 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1342c1 42944v1 96624bu1 118096y1 |
Quadratic twists by: -4 8 -3 -11 |