Atkin-Lehner |
2- 3+ 11+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
124608cg |
Isogeny class |
Conductor |
124608 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
5529600 |
Modular degree for the optimal curve |
Δ |
3820702026329751552 = 238 · 3 · 113 · 592 |
Discriminant |
Eigenvalues |
2- 3+ -2 4 11+ -2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-18554689,-30756668447] |
[a1,a2,a3,a4,a6] |
Generators |
[31498585849995996930554:10219544899080353669853111:298723337593276168] |
Generators of the group modulo torsion |
j |
2694913635715921176913/14574821572608 |
j-invariant |
L |
5.2921394250586 |
L(r)(E,1)/r! |
Ω |
0.072742173564255 |
Real period |
R |
36.376004644547 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000261148 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
124608br1 31152bd1 |
Quadratic twists by: -4 8 |