Atkin-Lehner |
2+ 3- 5+ 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
45570bh |
Isogeny class |
Conductor |
45570 |
Conductor |
∏ cp |
5 |
Product of Tamagawa factors cp |
deg |
145200 |
Modular degree for the optimal curve |
Δ |
-9075199150080 = -1 · 211 · 35 · 5 · 76 · 31 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 3 2 -8 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,4776,-69338] |
[a1,a2,a3,a4,a6] |
j |
102437538839/77137920 |
j-invariant |
L |
2.0428433016663 |
L(r)(E,1)/r! |
Ω |
0.40856866035206 |
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 |
930c1 |
Quadratic twists by: -7 |