Atkin-Lehner |
3- 5- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
6525l |
Isogeny class |
Conductor |
6525 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
7296 |
Modular degree for the optimal curve |
Δ |
-7927875 = -1 · 37 · 53 · 29 |
Discriminant |
Eigenvalues |
2 3- 5- -2 3 4 -8 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-6285,191781] |
[a1,a2,a3,a4,a6] |
Generators |
[370:41:8] |
Generators of the group modulo torsion |
j |
-301302001664/87 |
j-invariant |
L |
7.5529629995919 |
L(r)(E,1)/r! |
Ω |
1.8744932414888 |
Real period |
R |
1.0073339866503 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
104400fl1 2175j1 6525m1 |
Quadratic twists by: -4 -3 5 |