Atkin-Lehner |
2- 3- 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
30492v |
Isogeny class |
Conductor |
30492 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
17280 |
Modular degree for the optimal curve |
Δ |
-1106493696 = -1 · 28 · 36 · 72 · 112 |
Discriminant |
Eigenvalues |
2- 3- -3 7+ 11- 1 -3 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-759,8206] |
[a1,a2,a3,a4,a6] |
Generators |
[15:-14:1] [-13:126:1] |
Generators of the group modulo torsion |
j |
-2141392/49 |
j-invariant |
L |
7.0856365643787 |
L(r)(E,1)/r! |
Ω |
1.5471537095894 |
Real period |
R |
0.38164903075788 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999992 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
121968gj1 3388c1 30492bk1 |
Quadratic twists by: -4 -3 -11 |