Atkin-Lehner |
2+ 3+ 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
122304cc |
Isogeny class |
Conductor |
122304 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
1022979868065792 = 217 · 36 · 77 · 13 |
Discriminant |
Eigenvalues |
2+ 3+ -2 7- 4 13- 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-554771009,5029614723393] |
[a1,a2,a3,a4,a6] |
Generators |
[6088243854735:2358705068:447697125] |
Generators of the group modulo torsion |
j |
1224522642327678150914/66339 |
j-invariant |
L |
5.7407049698106 |
L(r)(E,1)/r! |
Ω |
0.1854355459496 |
Real period |
R |
15.478976500212 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000093534 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
122304in6 15288bc5 17472bh5 |
Quadratic twists by: -4 8 -7 |