Atkin-Lehner |
5+ 11- 13- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
103675t |
Isogeny class |
Conductor |
103675 |
Conductor |
∏ cp |
140 |
Product of Tamagawa factors cp |
deg |
5174400 |
Modular degree for the optimal curve |
Δ |
2.2895752416378E+19 |
Discriminant |
Eigenvalues |
1 -2 5+ 5 11- 13- -4 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-2381776,-1396156677] |
[a1,a2,a3,a4,a6] |
Generators |
[-843:3996:1] |
Generators of the group modulo torsion |
j |
95632645150994239729/1465328154648215 |
j-invariant |
L |
6.2914733664787 |
L(r)(E,1)/r! |
Ω |
0.12164031766344 |
Real period |
R |
0.36944243746449 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000005187 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
20735h1 |
Quadratic twists by: 5 |