Atkin-Lehner |
3- 5+ 11+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
76725r |
Isogeny class |
Conductor |
76725 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
3870720 |
Modular degree for the optimal curve |
Δ |
11680284322265625 = 313 · 59 · 112 · 31 |
Discriminant |
Eigenvalues |
-1 3- 5+ -2 11+ -6 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-39723980,96376687022] |
[a1,a2,a3,a4,a6] |
Generators |
[3628:-654:1] |
Generators of the group modulo torsion |
j |
608603451835763140849/1025429625 |
j-invariant |
L |
1.9384519692522 |
L(r)(E,1)/r! |
Ω |
0.25946282350257 |
Real period |
R |
3.7355100503976 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999997191 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
25575n1 15345i1 |
Quadratic twists by: -3 5 |