Atkin-Lehner |
2- 3+ 5- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
115320o |
Isogeny class |
Conductor |
115320 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
8704800 |
Modular degree for the optimal curve |
Δ |
-2.4476108354749E+22 |
Discriminant |
Eigenvalues |
2- 3+ 5- -4 -2 4 1 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-3286940,7869939225] |
[a1,a2,a3,a4,a6] |
Generators |
[38100:2098295:27] |
Generators of the group modulo torsion |
j |
-287796587776/1793613375 |
j-invariant |
L |
5.4643197422268 |
L(r)(E,1)/r! |
Ω |
0.10317073708143 |
Real period |
R |
8.8273087418583 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000084493 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
115320v1 |
Quadratic twists by: -31 |