Atkin-Lehner |
2+ 3+ 7- 37- |
Signs for the Atkin-Lehner involutions |
Class |
87024q |
Isogeny class |
Conductor |
87024 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
2211840 |
Modular degree for the optimal curve |
Δ |
-1.0700631434589E+20 |
Discriminant |
Eigenvalues |
2+ 3+ -2 7- 0 2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1854519,-1091448462] |
[a1,a2,a3,a4,a6] |
Generators |
[6341413825645292724:689032965323355958045:529789342015296] |
Generators of the group modulo torsion |
j |
-374722339639318528/56846166534507 |
j-invariant |
L |
3.8812743541117 |
L(r)(E,1)/r! |
Ω |
0.064149226775146 |
Real period |
R |
30.251918457215 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999977365 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
43512o1 12432l1 |
Quadratic twists by: -4 -7 |