Atkin-Lehner |
3- 5- 7- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
105525bq |
Isogeny class |
Conductor |
105525 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
1677312 |
Modular degree for the optimal curve |
Δ |
2097870986964375 = 313 · 54 · 7 · 673 |
Discriminant |
Eigenvalues |
-1 3- 5- 7- -6 6 7 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-540230,-152681578] |
[a1,a2,a3,a4,a6] |
j |
38269387019581225/4604380767 |
j-invariant |
L |
2.1131937421879 |
L(r)(E,1)/r! |
Ω |
0.17609948197431 |
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 |
35175bd1 105525q1 |
Quadratic twists by: -3 5 |