Atkin-Lehner |
3+ 5+ 7- 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
105105l |
Isogeny class |
Conductor |
105105 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
20070400 |
Modular degree for the optimal curve |
Δ |
-3.3457798405598E+24 |
Discriminant |
Eigenvalues |
1 3+ 5+ 7- 11+ 13- -8 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-38153483,126368226048] |
[a1,a2,a3,a4,a6] |
Generators |
[9472:779424:1] |
Generators of the group modulo torsion |
j |
-152210264709567064447/82911543460284825 |
j-invariant |
L |
3.8500950565084 |
L(r)(E,1)/r! |
Ω |
0.07378592515777 |
Real period |
R |
5.2179261215094 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999836464 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
105105ci1 |
Quadratic twists by: -7 |