Atkin-Lehner |
2- 3- 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
30492u |
Isogeny class |
Conductor |
30492 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-28300691821990896 = -1 · 24 · 37 · 73 · 119 |
Discriminant |
Eigenvalues |
2- 3- -3 7+ 11- 1 0 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-59169,-9808139] |
[a1,a2,a3,a4,a6] |
Generators |
[308:1089:1] [572:11979:1] |
Generators of the group modulo torsion |
j |
-1108671232/1369599 |
j-invariant |
L |
7.1448941430992 |
L(r)(E,1)/r! |
Ω |
0.14620779379413 |
Real period |
R |
3.0542549911701 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
121968gi2 10164s2 2772m2 |
Quadratic twists by: -4 -3 -11 |