Atkin-Lehner |
2+ 5+ 7- 37- |
Signs for the Atkin-Lehner involutions |
Class |
18130c |
Isogeny class |
Conductor |
18130 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
211680 |
Modular degree for the optimal curve |
Δ |
-31679169812971520 = -1 · 214 · 5 · 710 · 372 |
Discriminant |
Eigenvalues |
2+ -1 5+ 7- -4 -4 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-272563,-55549843] |
[a1,a2,a3,a4,a6] |
Generators |
[1078:29541:1] |
Generators of the group modulo torsion |
j |
-7927687158601/112148480 |
j-invariant |
L |
2.0059600084055 |
L(r)(E,1)/r! |
Ω |
0.10438479929613 |
Real period |
R |
4.8042435822354 |
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 |
90650cb1 18130f1 |
Quadratic twists by: 5 -7 |