Atkin-Lehner |
2+ 5+ 7- 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
102410l |
Isogeny class |
Conductor |
102410 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
241920 |
Modular degree for the optimal curve |
Δ |
-26181984936800 = -1 · 25 · 52 · 76 · 114 · 19 |
Discriminant |
Eigenvalues |
2+ 1 5+ 7- 11- -1 -1 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-2329,-250148] |
[a1,a2,a3,a4,a6] |
j |
-11867954041/222543200 |
j-invariant |
L |
2.3048940130393 |
L(r)(E,1)/r! |
Ω |
0.28811176821463 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2090i1 |
Quadratic twists by: -7 |