Atkin-Lehner |
2+ 3+ 5+ 11- 41- |
Signs for the Atkin-Lehner involutions |
Class |
67650m |
Isogeny class |
Conductor |
67650 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
480000 |
Modular degree for the optimal curve |
Δ |
-5479650000000000 = -1 · 210 · 35 · 511 · 11 · 41 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -3 11- -4 -3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,25625,3203125] |
[a1,a2,a3,a4,a6] |
Generators |
[30:1985:1] |
Generators of the group modulo torsion |
j |
119088226227599/350697600000 |
j-invariant |
L |
2.6207969695259 |
L(r)(E,1)/r! |
Ω |
0.3017362848549 |
Real period |
R |
2.1714300700026 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003612 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13530y1 |
Quadratic twists by: 5 |