Atkin-Lehner |
3+ 5- 7+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
62475bc |
Isogeny class |
Conductor |
62475 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
61344 |
Modular degree for the optimal curve |
Δ |
-18597245625 = -1 · 36 · 54 · 74 · 17 |
Discriminant |
Eigenvalues |
-1 3+ 5- 7+ 1 -1 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-5538,156456] |
[a1,a2,a3,a4,a6] |
Generators |
[34:77:1] |
Generators of the group modulo torsion |
j |
-12517433425/12393 |
j-invariant |
L |
2.9067788553447 |
L(r)(E,1)/r! |
Ω |
1.2177531518802 |
Real period |
R |
0.39783361829721 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999990112 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
62475bo1 62475co1 |
Quadratic twists by: 5 -7 |