Atkin-Lehner |
3+ 5+ 7- 11+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
107415b |
Isogeny class |
Conductor |
107415 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
325248 |
Modular degree for the optimal curve |
Δ |
-142207169320755 = -1 · 33 · 5 · 77 · 113 · 312 |
Discriminant |
Eigenvalues |
0 3+ 5+ 7- 11+ -4 -1 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-60318,5730679] |
[a1,a2,a3,a4,a6] |
Generators |
[241:2278:1] |
Generators of the group modulo torsion |
j |
-898877990819561472/5266932197065 |
j-invariant |
L |
4.4723898889991 |
L(r)(E,1)/r! |
Ω |
0.58412752124754 |
Real period |
R |
0.27344749993259 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999996516 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
107415d1 |
Quadratic twists by: -3 |