Atkin-Lehner |
2+ 5+ 7- 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
108290j |
Isogeny class |
Conductor |
108290 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
829440 |
Modular degree for the optimal curve |
Δ |
2215153349427200 = 218 · 52 · 76 · 132 · 17 |
Discriminant |
Eigenvalues |
2+ -2 5+ 7- -4 13+ 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-109149,13684472] |
[a1,a2,a3,a4,a6] |
Generators |
[131:1214:1] |
Generators of the group modulo torsion |
j |
1222331589867961/18828492800 |
j-invariant |
L |
2.4438889354697 |
L(r)(E,1)/r! |
Ω |
0.46317138275222 |
Real period |
R |
1.3191062015449 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999998445238 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2210a1 |
Quadratic twists by: -7 |