Atkin-Lehner |
2- 3+ 5- 59- |
Signs for the Atkin-Lehner involutions |
Class |
70800cc |
Isogeny class |
Conductor |
70800 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
829440 |
Modular degree for the optimal curve |
Δ |
-401344243200000000 = -1 · 215 · 312 · 58 · 59 |
Discriminant |
Eigenvalues |
2- 3+ 5- 4 -3 -1 3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,66792,29724912] |
[a1,a2,a3,a4,a6] |
j |
20595416135/250840152 |
j-invariant |
L |
2.6558601070384 |
L(r)(E,1)/r! |
Ω |
0.22132167452013 |
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 |
8850o1 70800cu1 |
Quadratic twists by: -4 5 |