Atkin-Lehner |
2+ 5+ 19+ 79+ |
Signs for the Atkin-Lehner involutions |
Class |
75050b |
Isogeny class |
Conductor |
75050 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1399680 |
Modular degree for the optimal curve |
Δ |
-801226018816000000 = -1 · 218 · 56 · 195 · 79 |
Discriminant |
Eigenvalues |
2+ -2 5+ 0 -4 -2 -8 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,65149,-42582402] |
[a1,a2,a3,a4,a6] |
Generators |
[1791:75392:1] |
Generators of the group modulo torsion |
j |
1957205964033503/51278465204224 |
j-invariant |
L |
1.2284082864724 |
L(r)(E,1)/r! |
Ω |
0.13682193366427 |
Real period |
R |
4.489076620183 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999950456 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3002c1 |
Quadratic twists by: 5 |