Atkin-Lehner |
2- 3+ 7+ 11- 31- |
Signs for the Atkin-Lehner involutions |
Class |
100254bi |
Isogeny class |
Conductor |
100254 |
Conductor |
∏ cp |
270 |
Product of Tamagawa factors cp |
deg |
3447360 |
Modular degree for the optimal curve |
Δ |
-1.0742538752649E+19 |
Discriminant |
Eigenvalues |
2- 3+ -2 7+ 11- -6 -2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-225744,162912945] |
[a1,a2,a3,a4,a6] |
Generators |
[-585:10049:1] [559:14273:1] |
Generators of the group modulo torsion |
j |
-220692797906497/1863470873088 |
j-invariant |
L |
13.01544820774 |
L(r)(E,1)/r! |
Ω |
0.19507384598059 |
Real period |
R |
0.24711341229655 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000476 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
100254ct1 |
Quadratic twists by: -7 |