Atkin-Lehner |
2+ 17- 59- |
Signs for the Atkin-Lehner involutions |
Class |
64192ba |
Isogeny class |
Conductor |
64192 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
522240 |
Modular degree for the optimal curve |
Δ |
-1593011481214976 = -1 · 217 · 17 · 595 |
Discriminant |
Eigenvalues |
2+ 1 -2 -4 -6 -5 17- -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-69089,-7271809] |
[a1,a2,a3,a4,a6] |
Generators |
[1475:55696:1] |
Generators of the group modulo torsion |
j |
-278257444311026/12153713083 |
j-invariant |
L |
1.7505156339402 |
L(r)(E,1)/r! |
Ω |
0.14686181259613 |
Real period |
R |
0.59597372597465 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000004651 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
64192cf1 8024f1 |
Quadratic twists by: -4 8 |