Atkin-Lehner |
2+ 3- 5- 13- |
Signs for the Atkin-Lehner involutions |
Class |
62400dq |
Isogeny class |
Conductor |
62400 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
1105920 |
Modular degree for the optimal curve |
Δ |
-248433868800000000 = -1 · 226 · 36 · 58 · 13 |
Discriminant |
Eigenvalues |
2+ 3- 5- -1 5 13- 5 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1320833,584330463] |
[a1,a2,a3,a4,a6] |
j |
-2488672890625/2426112 |
j-invariant |
L |
3.7226552297852 |
L(r)(E,1)/r! |
Ω |
0.31022126918653 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
62400ft1 1950r1 62400e1 |
Quadratic twists by: -4 8 5 |