Atkin-Lehner |
3+ 5+ 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
62475t |
Isogeny class |
Conductor |
62475 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
215040 |
Modular degree for the optimal curve |
Δ |
-225097464046875 = -1 · 3 · 56 · 710 · 17 |
Discriminant |
Eigenvalues |
0 3+ 5+ 7- -5 -5 17- 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-6533,752093] |
[a1,a2,a3,a4,a6] |
Generators |
[61:759:1] |
Generators of the group modulo torsion |
j |
-16777216/122451 |
j-invariant |
L |
2.8972101206148 |
L(r)(E,1)/r! |
Ω |
0.48037491835272 |
Real period |
R |
3.0155718060497 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001308 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2499k1 8925p1 |
Quadratic twists by: 5 -7 |