Atkin-Lehner |
5- 7+ 13+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
84175j |
Isogeny class |
Conductor |
84175 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
43655040 |
Modular degree for the optimal curve |
Δ |
1.1275312783326E+26 |
Discriminant |
Eigenvalues |
2 -1 5- 7+ -6 13+ 6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-371754958,-2711044145807] |
[a1,a2,a3,a4,a6] |
Generators |
[-277786814520486598620310304120035545872:2027812388061876015258878434169680556583:22758702955705077831301364644704256] |
Generators of the group modulo torsion |
j |
14545678577070551268536320/288648007253142788797 |
j-invariant |
L |
8.2683338157824 |
L(r)(E,1)/r! |
Ω |
0.034423821247535 |
Real period |
R |
60.048053325678 |
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 |
84175f1 |
Quadratic twists by: 5 |