Atkin-Lehner |
2+ 5+ 37+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
112850b |
Isogeny class |
Conductor |
112850 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
445824 |
Modular degree for the optimal curve |
Δ |
-131223390625000 = -1 · 23 · 59 · 37 · 613 |
Discriminant |
Eigenvalues |
2+ 2 5+ -2 0 4 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-24400,1557000] |
[a1,a2,a3,a4,a6] |
j |
-102825534498049/8398297000 |
j-invariant |
L |
3.4385254430181 |
L(r)(E,1)/r! |
Ω |
0.57308756020426 |
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 |
22570h1 |
Quadratic twists by: 5 |