Atkin-Lehner |
5+ 7- 59- |
Signs for the Atkin-Lehner involutions |
Class |
10325c |
Isogeny class |
Conductor |
10325 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
23040 |
Modular degree for the optimal curve |
Δ |
-1189794921875 = -1 · 511 · 7 · 592 |
Discriminant |
Eigenvalues |
0 3 5+ 7- -5 -3 1 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,200,-52469] |
[a1,a2,a3,a4,a6] |
Generators |
[4665:61199:27] |
Generators of the group modulo torsion |
j |
56623104/76146875 |
j-invariant |
L |
6.1733844625396 |
L(r)(E,1)/r! |
Ω |
0.40272381517703 |
Real period |
R |
3.832269305843 |
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 |
92925m1 2065a1 72275e1 |
Quadratic twists by: -3 5 -7 |