Atkin-Lehner |
2- 7- 19- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
113582g |
Isogeny class |
Conductor |
113582 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
119040 |
Modular degree for the optimal curve |
Δ |
-213804939488 = -1 · 25 · 78 · 19 · 61 |
Discriminant |
Eigenvalues |
2- 1 -2 7- -1 -1 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-1324,-29072] |
[a1,a2,a3,a4,a6] |
j |
-2181825073/1817312 |
j-invariant |
L |
3.8223956714554 |
L(r)(E,1)/r! |
Ω |
0.38223968875441 |
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 |
16226b1 |
Quadratic twists by: -7 |