Atkin-Lehner |
2- 3- 5+ 11+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
62700w |
Isogeny class |
Conductor |
62700 |
Conductor |
∏ cp |
30 |
Product of Tamagawa factors cp |
deg |
1166400 |
Modular degree for the optimal curve |
Δ |
5263872504646800 = 24 · 3 · 52 · 116 · 195 |
Discriminant |
Eigenvalues |
2- 3- 5+ -1 11+ 6 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2971958,-1973011527] |
[a1,a2,a3,a4,a6] |
j |
7257580636855660000000/13159681261617 |
j-invariant |
L |
3.4495319938809 |
L(r)(E,1)/r! |
Ω |
0.11498439986033 |
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 |
62700m1 |
Quadratic twists by: 5 |