Atkin-Lehner |
2+ 5- 7+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
25970n |
Isogeny class |
Conductor |
25970 |
Conductor |
∏ cp |
210 |
Product of Tamagawa factors cp |
deg |
1975680 |
Modular degree for the optimal curve |
Δ |
-7.5337931132559E+20 |
Discriminant |
Eigenvalues |
2+ -2 5- 7+ -2 4 4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-15048318,-22508836444] |
[a1,a2,a3,a4,a6] |
Generators |
[8285:-653393:1] |
Generators of the group modulo torsion |
j |
-65373724861683693721/130686091562500 |
j-invariant |
L |
3.0996725024929 |
L(r)(E,1)/r! |
Ω |
0.038321768884254 |
Real period |
R |
0.38516868296315 |
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 |
129850bl1 25970h1 |
Quadratic twists by: 5 -7 |