Atkin-Lehner |
2+ 3- 7- 11+ 79+ |
Signs for the Atkin-Lehner involutions |
Class |
109494m |
Isogeny class |
Conductor |
109494 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
156672 |
Modular degree for the optimal curve |
Δ |
-25862044824 = -1 · 23 · 312 · 7 · 11 · 79 |
Discriminant |
Eigenvalues |
2+ 3- -1 7- 11+ -6 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-7245,-235683] |
[a1,a2,a3,a4,a6] |
Generators |
[12405:9264:125] |
Generators of the group modulo torsion |
j |
-57695915808721/35476056 |
j-invariant |
L |
3.6834470985867 |
L(r)(E,1)/r! |
Ω |
0.25872663232343 |
Real period |
R |
7.1184150860569 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999272287 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
36498bl1 |
Quadratic twists by: -3 |