Atkin-Lehner |
2+ 3+ 5+ 7- 101+ |
Signs for the Atkin-Lehner involutions |
Class |
63630a |
Isogeny class |
Conductor |
63630 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
2329600 |
Modular degree for the optimal curve |
Δ |
237010001356800000 = 214 · 33 · 55 · 75 · 1012 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- 4 -2 -4 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-3295545,-2301765779] |
[a1,a2,a3,a4,a6] |
j |
146602629759903038069067/8778148198400000 |
j-invariant |
L |
1.1205191959957 |
L(r)(E,1)/r! |
Ω |
0.11205191864048 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
63630bc1 |
Quadratic twists by: -3 |