Atkin-Lehner |
2+ 3- 5- 17- 31- |
Signs for the Atkin-Lehner involutions |
Class |
15810j |
Isogeny class |
Conductor |
15810 |
Conductor |
∏ cp |
210 |
Product of Tamagawa factors cp |
deg |
141120 |
Modular degree for the optimal curve |
Δ |
-24609002100270480 = -1 · 24 · 37 · 5 · 173 · 315 |
Discriminant |
Eigenvalues |
2+ 3- 5- -2 -1 5 17- -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-76318,11075936] |
[a1,a2,a3,a4,a6] |
Generators |
[2137:-99091:1] |
Generators of the group modulo torsion |
j |
-49158256787653106521/24609002100270480 |
j-invariant |
L |
4.4623388839216 |
L(r)(E,1)/r! |
Ω |
0.35233970724751 |
Real period |
R |
0.060308935789777 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
126480bg1 47430be1 79050bl1 |
Quadratic twists by: -4 -3 5 |