Atkin-Lehner |
2- 3+ 5+ 19- 47- |
Signs for the Atkin-Lehner involutions |
Class |
80370be |
Isogeny class |
Conductor |
80370 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
61056 |
Modular degree for the optimal curve |
Δ |
-2130447960 = -1 · 23 · 33 · 5 · 19 · 473 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -4 6 -1 3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-143,2351] |
[a1,a2,a3,a4,a6] |
j |
-11899199187/78905480 |
j-invariant |
L |
2.5250919624409 |
L(r)(E,1)/r! |
Ω |
1.2625459676115 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
80370g2 |
Quadratic twists by: -3 |