Atkin-Lehner |
2+ 3+ 7- 37- |
Signs for the Atkin-Lehner involutions |
Class |
87024o |
Isogeny class |
Conductor |
87024 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1028160 |
Modular degree for the optimal curve |
Δ |
-5201377205778432 = -1 · 211 · 35 · 710 · 37 |
Discriminant |
Eigenvalues |
2+ 3+ 0 7- 3 2 2 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2132888,-1198241904] |
[a1,a2,a3,a4,a6] |
Generators |
[1616008935968280:80752995205114996:495101399031] |
Generators of the group modulo torsion |
j |
-1854888103250/8991 |
j-invariant |
L |
6.2612127047146 |
L(r)(E,1)/r! |
Ω |
0.062463656449254 |
Real period |
R |
25.059422793322 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
43512m1 87024y1 |
Quadratic twists by: -4 -7 |