Atkin-Lehner |
2- 3+ 7+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
10878x |
Isogeny class |
Conductor |
10878 |
Conductor |
∏ cp |
75 |
Product of Tamagawa factors cp |
deg |
352800 |
Modular degree for the optimal curve |
Δ |
-2.9394131898952E+19 |
Discriminant |
Eigenvalues |
2- 3+ -2 7+ -4 3 5 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-85114,-261059065] |
[a1,a2,a3,a4,a6] |
Generators |
[745:9099:1] |
Generators of the group modulo torsion |
j |
-11828855157217/5098897932288 |
j-invariant |
L |
4.9031272413547 |
L(r)(E,1)/r! |
Ω |
0.094025884056426 |
Real period |
R |
0.69528758533658 |
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 |
87024de1 32634n1 10878bw1 |
Quadratic twists by: -4 -3 -7 |