Atkin-Lehner |
2+ 3+ 5+ 13- 41- |
Signs for the Atkin-Lehner involutions |
Class |
79950i |
Isogeny class |
Conductor |
79950 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
2211840 |
Modular degree for the optimal curve |
Δ |
-3237975000000000000 = -1 · 212 · 35 · 514 · 13 · 41 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 0 -4 13- -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-265875,101278125] |
[a1,a2,a3,a4,a6] |
Generators |
[191:7488:1] |
Generators of the group modulo torsion |
j |
-133026678393614641/207230400000000 |
j-invariant |
L |
2.9361584059736 |
L(r)(E,1)/r! |
Ω |
0.2259911049142 |
Real period |
R |
6.4961813542057 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000006995 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
15990w1 |
Quadratic twists by: 5 |