Atkin-Lehner |
2- 5+ 17- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
49300i |
Isogeny class |
Conductor |
49300 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
154368 |
Modular degree for the optimal curve |
Δ |
-49300000000 = -1 · 28 · 58 · 17 · 29 |
Discriminant |
Eigenvalues |
2- -2 5+ -3 6 -5 17- -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-63908,6197188] |
[a1,a2,a3,a4,a6] |
Generators |
[148:50:1] |
Generators of the group modulo torsion |
j |
-7216659188944/12325 |
j-invariant |
L |
2.8583594879946 |
L(r)(E,1)/r! |
Ω |
0.96477090976593 |
Real period |
R |
0.49378898470024 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999466 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9860a1 |
Quadratic twists by: 5 |