Atkin-Lehner |
3- 5+ 11- 31- |
Signs for the Atkin-Lehner involutions |
Class |
76725y |
Isogeny class |
Conductor |
76725 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
2682139362890625 = 310 · 58 · 112 · 312 |
Discriminant |
Eigenvalues |
-1 3- 5+ 0 11- -6 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1150880,-474923878] |
[a1,a2,a3,a4,a6] |
Generators |
[-620:381:1] [1363:21390:1] |
Generators of the group modulo torsion |
j |
14800143725555761/235469025 |
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 |
4 |
Number of elements in the torsion subgroup |
Twists |
25575i2 15345h2 |
Quadratic twists by: -3 5 |