Atkin-Lehner |
2- 3+ 7- 11+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
15708c |
Isogeny class |
Conductor |
15708 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
91392 |
Modular degree for the optimal curve |
Δ |
8565446736 = 24 · 37 · 7 · 112 · 172 |
Discriminant |
Eigenvalues |
2- 3+ 2 7- 11+ -2 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-617457,186954930] |
[a1,a2,a3,a4,a6] |
j |
1627138751942907609088/535340421 |
j-invariant |
L |
2.3373121370379 |
L(r)(E,1)/r! |
Ω |
0.77910404567928 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
62832br1 47124t1 109956y1 |
Quadratic twists by: -4 -3 -7 |