Atkin-Lehner |
2+ 5+ 37+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
112850d |
Isogeny class |
Conductor |
112850 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
443520 |
Modular degree for the optimal curve |
Δ |
-815517578125000 = -1 · 23 · 513 · 372 · 61 |
Discriminant |
Eigenvalues |
2+ -2 5+ -2 0 -1 -1 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-24401,2007948] |
[a1,a2,a3,a4,a6] |
Generators |
[-158:1466:1] [-18:1571:1] |
Generators of the group modulo torsion |
j |
-102825534498049/52193125000 |
j-invariant |
L |
5.8889477935093 |
L(r)(E,1)/r! |
Ω |
0.46781013768791 |
Real period |
R |
1.5735410893838 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.000000000688 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
22570f1 |
Quadratic twists by: 5 |