Atkin-Lehner |
3+ 5+ 7- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
35175h |
Isogeny class |
Conductor |
35175 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
368640 |
Modular degree for the optimal curve |
Δ |
-78730114885734375 = -1 · 36 · 56 · 73 · 674 |
Discriminant |
Eigenvalues |
1 3+ 5+ 7- -4 -2 6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,92825,-7946000] |
[a1,a2,a3,a4,a6] |
j |
5660975162375567/5038727352687 |
j-invariant |
L |
1.1314555535005 |
L(r)(E,1)/r! |
Ω |
0.18857592558025 |
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 |
105525x1 1407c1 |
Quadratic twists by: -3 5 |