Atkin-Lehner |
2- 5- 13- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
109330z |
Isogeny class |
Conductor |
109330 |
Conductor |
∏ cp |
117 |
Product of Tamagawa factors cp |
deg |
336960 |
Modular degree for the optimal curve |
Δ |
1892021248000 = 213 · 53 · 133 · 292 |
Discriminant |
Eigenvalues |
2- -1 5- -4 -3 13- 0 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-35470,2555595] |
[a1,a2,a3,a4,a6] |
Generators |
[-217:413:1] [53:883:1] |
Generators of the group modulo torsion |
j |
5868296475950041/2249728000 |
j-invariant |
L |
13.194727387383 |
L(r)(E,1)/r! |
Ω |
0.81801606693501 |
Real period |
R |
0.13786458764365 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000136 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
109330n1 |
Quadratic twists by: 29 |