Atkin-Lehner |
3- 5- 101+ |
Signs for the Atkin-Lehner involutions |
Class |
7575g |
Isogeny class |
Conductor |
7575 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
5440 |
Modular degree for the optimal curve |
Δ |
1775390625 = 32 · 59 · 101 |
Discriminant |
Eigenvalues |
1 3- 5- 0 -2 4 4 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-2326,42923] |
[a1,a2,a3,a4,a6] |
Generators |
[63:352:1] |
Generators of the group modulo torsion |
j |
712121957/909 |
j-invariant |
L |
5.9374977152103 |
L(r)(E,1)/r! |
Ω |
1.4849697934096 |
Real period |
R |
3.9983962916696 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
121200ck1 22725o1 7575d1 |
Quadratic twists by: -4 -3 5 |