Atkin-Lehner |
3- 7- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
28749i |
Isogeny class |
Conductor |
28749 |
Conductor |
∏ cp |
5 |
Product of Tamagawa factors cp |
deg |
186480 |
Modular degree for the optimal curve |
Δ |
5974727551119621 = 35 · 7 · 378 |
Discriminant |
Eigenvalues |
0 3- 2 7- -4 4 7 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-67537,-5662349] |
[a1,a2,a3,a4,a6] |
Generators |
[-115:772:1] |
Generators of the group modulo torsion |
j |
9699328/1701 |
j-invariant |
L |
6.6414919163305 |
L(r)(E,1)/r! |
Ω |
0.2997069813907 |
Real period |
R |
4.4319901295009 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
86247n1 28749j1 |
Quadratic twists by: -3 37 |