Atkin-Lehner |
2+ 3- 5- 37- |
Signs for the Atkin-Lehner involutions |
Class |
88800ba |
Isogeny class |
Conductor |
88800 |
Conductor |
∏ cp |
13 |
Product of Tamagawa factors cp |
deg |
723840 |
Modular degree for the optimal curve |
Δ |
11797990200000000 = 29 · 313 · 58 · 37 |
Discriminant |
Eigenvalues |
2+ 3- 5- -2 2 7 7 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-74208,-5789412] |
[a1,a2,a3,a4,a6] |
j |
225970501640/58989951 |
j-invariant |
L |
3.8331759400105 |
L(r)(E,1)/r! |
Ω |
0.29485968820295 |
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 |
88800bv1 88800bd1 |
Quadratic twists by: -4 5 |