Atkin-Lehner |
2+ 3+ 5+ 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
119130f |
Isogeny class |
Conductor |
119130 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
1658880 |
Modular degree for the optimal curve |
Δ |
-37691067256413120 = -1 · 26 · 32 · 5 · 114 · 197 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -2 11- 2 -4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-348733,-79960067] |
[a1,a2,a3,a4,a6] |
Generators |
[13398:501589:8] |
Generators of the group modulo torsion |
j |
-99697252461409/801155520 |
j-invariant |
L |
3.3402665897511 |
L(r)(E,1)/r! |
Ω |
0.098183338694991 |
Real period |
R |
4.2525883910034 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999376004 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6270q1 |
Quadratic twists by: -19 |