Atkin-Lehner |
2+ 5- 7+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
90650t |
Isogeny class |
Conductor |
90650 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
937440 |
Modular degree for the optimal curve |
Δ |
6165634819531250 = 2 · 58 · 78 · 372 |
Discriminant |
Eigenvalues |
2+ 2 5- 7+ -4 -2 -1 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-309950,-66439750] |
[a1,a2,a3,a4,a6] |
Generators |
[1735:67120:1] [-21260:14305:64] |
Generators of the group modulo torsion |
j |
1462367305/2738 |
j-invariant |
L |
11.129433957521 |
L(r)(E,1)/r! |
Ω |
0.20236029690271 |
Real period |
R |
3.055450580057 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999996291 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
90650bz1 90650be1 |
Quadratic twists by: 5 -7 |