Atkin-Lehner |
2- 5- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
59200dr |
Isogeny class |
Conductor |
59200 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
345600 |
Modular degree for the optimal curve |
Δ |
-8498163220480000 = -1 · 228 · 54 · 373 |
Discriminant |
Eigenvalues |
2- -2 5- 4 0 -2 0 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-30433,-4893537] |
[a1,a2,a3,a4,a6] |
Generators |
[331121:10095616:343] |
Generators of the group modulo torsion |
j |
-19026212425/51868672 |
j-invariant |
L |
4.7445806079774 |
L(r)(E,1)/r! |
Ω |
0.16774172336641 |
Real period |
R |
7.0712588865731 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999203 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
59200bo1 14800bj1 59200dd1 |
Quadratic twists by: -4 8 5 |