Atkin-Lehner |
2+ 3- 7+ 17+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
30702i |
Isogeny class |
Conductor |
30702 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
18432 |
Modular degree for the optimal curve |
Δ |
-285160176 = -1 · 24 · 34 · 7 · 17 · 432 |
Discriminant |
Eigenvalues |
2+ 3- -2 7+ -6 -2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,143,-460] |
[a1,a2,a3,a4,a6] |
Generators |
[4:11:1] [7:26:1] |
Generators of the group modulo torsion |
j |
326655706103/285160176 |
j-invariant |
L |
6.3127081741384 |
L(r)(E,1)/r! |
Ω |
0.95431521188354 |
Real period |
R |
1.6537272212394 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999996 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
92106bv1 |
Quadratic twists by: -3 |