Atkin-Lehner |
2- 3- 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
76230dy |
Isogeny class |
Conductor |
76230 |
Conductor |
∏ cp |
22 |
Product of Tamagawa factors cp |
deg |
1626240 |
Modular degree for the optimal curve |
Δ |
-56006316530841600 = -1 · 211 · 36 · 52 · 7 · 118 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 11- -3 2 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-2528318,-1546784819] |
[a1,a2,a3,a4,a6] |
Generators |
[13025:1468307:1] |
Generators of the group modulo torsion |
j |
-11437987859001/358400 |
j-invariant |
L |
9.5161671383894 |
L(r)(E,1)/r! |
Ω |
0.05986332452259 |
Real period |
R |
7.2256770751217 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002347 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8470p1 76230u1 |
Quadratic twists by: -3 -11 |