Atkin-Lehner |
3- 5+ 11- 31- |
Signs for the Atkin-Lehner involutions |
Class |
76725y |
Isogeny class |
Conductor |
76725 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
393216 |
Modular degree for the optimal curve |
Δ |
-5207143288359375 = -1 · 38 · 57 · 11 · 314 |
Discriminant |
Eigenvalues |
-1 3- 5+ 0 11- -6 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-69755,-7877878] |
[a1,a2,a3,a4,a6] |
Generators |
[3030:34193:8] [478:7996:1] |
Generators of the group modulo torsion |
j |
-3295310559841/457142895 |
j-invariant |
L |
6.8064972997215 |
L(r)(E,1)/r! |
Ω |
0.14576138559019 |
Real period |
R |
11.674040542866 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999998011 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
25575i1 15345h1 |
Quadratic twists by: -3 5 |