Atkin-Lehner |
2- 7+ 29+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
15022b |
Isogeny class |
Conductor |
15022 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
93312 |
Modular degree for the optimal curve |
Δ |
-2960468548477468 = -1 · 22 · 73 · 292 · 376 |
Discriminant |
Eigenvalues |
2- 2 -2 7+ 0 2 -4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-27759,-3177295] |
[a1,a2,a3,a4,a6] |
Generators |
[10362420:55184975:46656] |
Generators of the group modulo torsion |
j |
-2365571834263226737/2960468548477468 |
j-invariant |
L |
8.7763383971214 |
L(r)(E,1)/r! |
Ω |
0.17659098091235 |
Real period |
R |
8.2831130934874 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
120176r1 105154k1 |
Quadratic twists by: -4 -7 |