Atkin-Lehner |
3+ 5+ 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
62475u |
Isogeny class |
Conductor |
62475 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
2661120 |
Modular degree for the optimal curve |
Δ |
7294528948791752325 = 311 · 52 · 713 · 17 |
Discriminant |
Eigenvalues |
0 3+ 5+ 7- -5 -6 17- 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-5024623,-4331519697] |
[a1,a2,a3,a4,a6] |
Generators |
[1259358:87614783:216] |
Generators of the group modulo torsion |
j |
4769863992106516480/2480098920957 |
j-invariant |
L |
2.8652976614048 |
L(r)(E,1)/r! |
Ω |
0.10084102006632 |
Real period |
R |
7.1035022739726 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000005 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
62475cn1 8925y1 |
Quadratic twists by: 5 -7 |