Atkin-Lehner |
2+ 3+ 5+ 13- 23- |
Signs for the Atkin-Lehner involutions |
Class |
71760d |
Isogeny class |
Conductor |
71760 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
9461760 |
Modular degree for the optimal curve |
Δ |
3.9330925428192E+22 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -4 4 13- 2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-37412031,-87546678750] |
[a1,a2,a3,a4,a6] |
Generators |
[118638775941994992609302332182:-403617798556330481562135067931736:10250361787963120888247] |
Generators of the group modulo torsion |
j |
361940846421653868727957504/2458182839261981203125 |
j-invariant |
L |
4.9825745280521 |
L(r)(E,1)/r! |
Ω |
0.061069515319131 |
Real period |
R |
40.794285847021 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999982275 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
35880d1 |
Quadratic twists by: -4 |