Atkin-Lehner |
2- 3- 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
30492j |
Isogeny class |
Conductor |
30492 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
253440 |
Modular degree for the optimal curve |
Δ |
-46782776277168624 = -1 · 24 · 311 · 7 · 119 |
Discriminant |
Eigenvalues |
2- 3- -1 7+ 11+ -5 0 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,75867,-6603091] |
[a1,a2,a3,a4,a6] |
Generators |
[484:11979:1] |
Generators of the group modulo torsion |
j |
1755904/1701 |
j-invariant |
L |
4.1848295328354 |
L(r)(E,1)/r! |
Ω |
0.19548675389813 |
Real period |
R |
1.7839356756862 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
121968fc1 10164a1 30492y1 |
Quadratic twists by: -4 -3 -11 |