Atkin-Lehner |
2- 3+ 5- 31- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
103230r |
Isogeny class |
Conductor |
103230 |
Conductor |
∏ cp |
1020 |
Product of Tamagawa factors cp |
deg |
3427200 |
Modular degree for the optimal curve |
Δ |
-451037074636800000 = -1 · 217 · 33 · 55 · 313 · 372 |
Discriminant |
Eigenvalues |
2- 3+ 5- -3 -5 2 -4 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1888892,1000208959] |
[a1,a2,a3,a4,a6] |
Generators |
[-1583:5441:1] [5237:364421:1] |
Generators of the group modulo torsion |
j |
-27604578116307991508163/16705076838400000 |
j-invariant |
L |
16.347002005292 |
L(r)(E,1)/r! |
Ω |
0.29345497808015 |
Real period |
R |
0.054613053970875 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999989359 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
103230c1 |
Quadratic twists by: -3 |