Atkin-Lehner |
3+ 5+ 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
34485d |
Isogeny class |
Conductor |
34485 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
983136 |
Modular degree for the optimal curve |
Δ |
695879264233828125 = 37 · 57 · 118 · 19 |
Discriminant |
Eigenvalues |
2 3+ 5+ -4 11- -5 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-558576,-155404393] |
[a1,a2,a3,a4,a6] |
Generators |
[-33411781716175092683092:-157523457521768341918657:84530304581482645696] |
Generators of the group modulo torsion |
j |
89914518605824/3246328125 |
j-invariant |
L |
6.401130119333 |
L(r)(E,1)/r! |
Ω |
0.17502173925382 |
Real period |
R |
36.573343097968 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
103455bg1 34485b1 |
Quadratic twists by: -3 -11 |