Atkin-Lehner |
2+ 5+ 7- 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
108290i |
Isogeny class |
Conductor |
108290 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
758661120 |
Modular degree for the optimal curve |
Δ |
2.477170670934E+33 |
Discriminant |
Eigenvalues |
2+ -2 5+ 7- 2 13+ 17- -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-84689723914,9179022935576316] |
[a1,a2,a3,a4,a6] |
Generators |
[354340014828343502207510080815105:-219256158232694829484790101634762619:691323474162239644045115125] |
Generators of the group modulo torsion |
j |
570988844277383801036805498606601/21055603285485075353871319040 |
j-invariant |
L |
2.8043639597965 |
L(r)(E,1)/r! |
Ω |
0.014371024991009 |
Real period |
R |
48.785037899549 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999998731603 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
15470f1 |
Quadratic twists by: -7 |