Atkin-Lehner |
2+ 3+ 5+ 7- 37- |
Signs for the Atkin-Lehner involutions |
Class |
62160h |
Isogeny class |
Conductor |
62160 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
49152 |
Modular degree for the optimal curve |
Δ |
141686571600 = 24 · 33 · 52 · 7 · 374 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- 0 2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2031,30906] |
[a1,a2,a3,a4,a6] |
Generators |
[938:9435:8] |
Generators of the group modulo torsion |
j |
57935840917504/8855410725 |
j-invariant |
L |
5.3447033636992 |
L(r)(E,1)/r! |
Ω |
0.99013498215608 |
Real period |
R |
2.6989771395043 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999951 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
31080j1 |
Quadratic twists by: -4 |